10904
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
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 10696
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5152
- Möbius Function
- 0
- Radical
- 2726
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=45A026055
- n! has a palindromic prime number of digits.at n=24A035067
- Number of partitions in parts not of the form 13k, 13k+3 or 13k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=39A035951
- a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 0,3,4.at n=15A049863
- Numbers k > 1 such that, in base 5, k and k^2 contain the same digits in the same proportion.at n=2A061659
- Number of hexagonal regions in regular n-gon with all diagonals drawn.at n=41A067153
- Sums of terms of groups in A075626.at n=28A075629
- Smallest multiple of n beginning with the n-th prime.at n=28A078208
- Pseudo-random numbers: Davenport's generator for 32-bit integers.at n=0A084277
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=31A099631
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=36A102538
- Number of parts in all partitions of n in which every integer from the smallest part to the largest part occurs as a part.at n=34A117457
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+343)^2 = y^2.at n=16A118611
- Number of partitions of n into lower Wythoff numbers (A000201).at n=51A192184
- Number of cyclotomic cosets of 9 mod 10^n.at n=26A220020
- Number of partitions of n having depth 2; see Comments.at n=39A237750
- Number of unlabeled rooted trees with n nodes and maximal outdegree (branching factor) 2.at n=12A244398
- Expansion of eta(q^6)^3 * eta(q^10)^3 / (eta(q^2) * eta(q^3)^2 * eta(q^5)^2 * eta(q^30)) in powers of q.at n=41A257632
- Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.)at n=10A274410
- Erroneous version of A274410.at n=6A274411