10242
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22230
- Proper Divisor Sum (Aliquot Sum)
- 11988
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3408
- Möbius Function
- 0
- Radical
- 3414
- Omega Function (Ω)
- 4
- 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
- 42
- 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 that are the sum of 12 positive 10th powers.at n=10A004812
- Numbers that are the sum of 7 positive 11th powers.at n=5A004818
- Numbers that are the sum of at most 7 positive 11th powers.at n=32A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=37A004914
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=32A005901
- a(0) = 1, a(n) = 40*n^2 + 2 for n>0.at n=16A010022
- Numbers whose base-4 representation contains exactly four 0's and three 2's.at n=10A045060
- Sum of decimal digits of square of divisors of n equals sum of square of digits of n.at n=37A067344
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=39A073735
- Numbers k such that k*k! + 1 is prime.at n=19A090703
- Number of partitions of n having nonnegative even rank (the rank of a partition is the largest part minus the number of parts).at n=39A101709
- a(n) = (n+1)*(n+2)^2*(n+3)*(7n^2 + 28n + 30)/360.at n=7A114244
- Number of vertices on the surface of an icosahedron.at n=6A122973
- A106486-encodings of combinatorial games with value -1.at n=24A125993
- Expansion of f(-x, -x^7) / f(-x, -x) in powers of q where f(, ) is Ramanujan's general theta function.at n=28A132212
- a(n) = A051717(3n) + A051717(3n+1) + A051717(3n+2).at n=34A153087
- a(n) = n^3 + 73*n^2 + n + 67.at n=11A163303
- a(n) = A000041(n) + n*A032741(n).at n=33A168015
- Numbers n with property that (n+1)*prime(n+1)-n*prime(n) is a perfect square s^2.at n=26A181283
- Numbers k with equal remainders of (product of divisors of k) mod (sum of divisors of k) and (product of proper divisors of k) mod (sum of proper divisors of k).at n=31A192035