8729
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 1831
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7056
- Möbius Function
- -1
- Radical
- 8729
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T3 atom.at n=12A019122
- Number of true prime powers whose binary order, ceiling(log_2(p^x)), is n.at n=36A036380
- Digits d in decimal expansion of n replaced with d^3.at n=29A048390
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=19A070192
- Smallest multiple of the n-th prime such that every partial sum is a square.at n=13A085039
- A sequence derived from pentagonal numbers, or a Stirling number of the first kind matrix.at n=13A094952
- Column m=3 sequence (unsigned) of triangle A103718(n,m), n>=0, without leading zeros.at n=4A103720
- a(n) = n*(n+13)*(n+14)/6.at n=29A111144
- 3-almost primes that are the sum of 2 positive cubes. Sums of 2 positive cubes, with the sums having exactly 3 prime divisors counted with multiplicity.at n=30A122732
- A106486-encodings of combinatorial games equivalent to game {0|1}.at n=37A125997
- Triangle T(n,k) read by rows: the coefficient [x^k] of the polynomial (n-1)! *sum_{i=0..n} Fibonacci(i)*binomial(x,n-i), read by rows, 0<=k<n.at n=40A139167
- Terms of A024670 that are not in A141805.at n=16A141806
- 7 times pentagonal numbers: a(n) = 7*n*(3*n-1)/2.at n=29A152744
- Number of planar n X n X n binary triangular grids with no more than 1 one in any 5 X 5 X 5 subtriangle.at n=11A153535
- Stirling-like triangle by rows generated from (x-1)*(x-1)*(x-2)*(x-3)*(x-4)*...at n=40A158471
- Numbers n not divisible by 2 or 3 such that k^k == k+1 (mod n) has no nonzero solutions.at n=39A191834
- Triangle, read by rows, where the g.f. of row n equals Product_{k=0..n-1} (1 + k*y + y^2) for n>0 with a single '1' in row 0.at n=68A201949
- Numbers which are the sum of two positive cubes and divisible by 29.at n=5A224483
- -7-Knödel numbers.at n=14A225511
- Number of numbers with at most n digits whose square is a palindrome.at n=33A263617