10274
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 6574
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4660
- Möbius Function
- -1
- Radical
- 10274
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=50A026045
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=22A031598
- Numbers with exactly five distinct base-10 digits.at n=25A031987
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=11A045056
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=27A053594
- Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.at n=26A099533
- Triangle read by rows: row n gives coefficients of expansion of q-reduced tangent number d_{n}(q) in powers of q.at n=29A143195
- Triangle read by rows: row n gives coefficients of expansion of q-reduced tangent number d_{n}(q) in powers of q.at n=38A143195
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (0, 0, 1), (1, 0, -1)}.at n=10A148183
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149362
- Numbers n such that 379*10^n+9 is a ("Google") probable prime.at n=20A159264
- Number of nX7 0..4 arrays with each element equal to the number its horizontal and vertical neighbors unequal to itself.at n=9A195961
- Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=11A254905
- Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 7 as largest digit.at n=32A256634
- Greater value of a coprime pair (x,y) satisfying x^3+y^3=z^2.at n=27A282639
- Number of maximal subsets of {1..n} containing no differences or quotients of pairs of distinct elements.at n=34A326491
- Lexicographically earliest infinite sequence of distinct positive integers such that the result of the division of a(n+1) by a(n) starts with the decimal number [a.b] with a = the rightmost digit of a(n), b = the leftmost digit of a(n+1) and the decimal point = the comma between a(n) and a(n+1).at n=5A334639
- First position of n in A354578, where A354578(k) is the number of integer compositions whose run-sums constitute the k-th composition in standard order (graded reverse-lexicographic, A066099).at n=22A354905
- a(n) = 1 + Sum_{k=2..n} (-1)^k * k^2 * a(floor(n/k)).at n=36A361983
- Lexicographically earliest sequence of distinct integers such that the concatenated binary expansions of the terms is A010051.at n=26A370069