10272
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
- 24
- Divisor Sum
- 27216
- Proper Divisor Sum (Aliquot Sum)
- 16944
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3392
- Möbius Function
- 0
- Radical
- 642
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Numbers k such that phi(k) + 10 | sigma(k).at n=12A015801
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=12A045060
- Number of rooted trees with n nodes with every leaf at height 8.at n=18A048813
- a(n) = 10*n^2+n.at n=31A055437
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=39A070020
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=26A070145
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=26A070146
- Total sum of prime parts in all partitions of n.at n=21A073118
- Numbers k with property that k is a peak value in 3x+1 trajectory such that both k+1 and k-1 are prime numbers.at n=42A095385
- Triangle read by rows: T(n,k) = 2*(T(n-1,k-1) - T(n-2,k-1) + T(n-1,k)) for 0 < k < n, T(n,0) = T(n,n) = 1.at n=60A100631
- Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).at n=50A101200
- Twice A084773.at n=4A152254
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=15A166256
- Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=14A187288
- The Wiener index of the binomial tree of order n.at n=6A192021
- Left edge of the triangle in A033291.at n=31A192735
- Expansion of psi(x^2) * phi(x^7) / (f(-x) * f(-x^7)) in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=27A193826
- Number of 0..n arrays x(0..10) of 11 elements with zero 6th differences.at n=28A200447
- Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 6 array.at n=13A220030
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^57 is prime.at n=29A244390