10290
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 18510
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2352
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Area of more than one Pythagorean triangle.at n=11A009127
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=19A024475
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=18A025095
- a(n) = 49*(n-1)*(n-2)/2.at n=19A027469
- Starting from generation 8 add previous and next term yielding generation 9.at n=12A048455
- Mean divisor of n differs by <= 1 from mean divisor of all numbers from 1 to n-1.at n=20A049010
- Expansion of (-1 + 1/(1-7*x)^7)/(49*x); related to A036226.at n=3A053110
- Numbers k > 1 such that, in base 7, k and k^2 contain the same digits in the same proportion.at n=3A061661
- Numbers n such that sigma(n) = phi(prime(n)+1).at n=21A067625
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=6A077096
- Ordered m for which m = k^3*a*b*(a^4 - b^4) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity).at n=14A081779
- a(n) = 3*n^3 + n^2 - 4*n.at n=15A083127
- a(n) = C(n+3,3)*n^3/4.at n=7A085284
- Fourth column of (1,5)-Pascal triangle A096940.at n=34A096941
- Positive integers that are the difference between two double factorials.at n=47A111300
- Number of odd parts in all partitions of n into distinct parts.at n=50A116676
- a(n) = (n^3 + n)*7^n.at n=2A128051
- Numbers that are primally tight, have 2 as first prime and weakly ascending powers.at n=47A133808
- Numbers with exactly 4 distinct prime divisors {2,3,5,7}.at n=29A147571
- 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), (1, -1, 0), (1, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150764