8709
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11616
- Proper Divisor Sum (Aliquot Sum)
- 2907
- 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
- 5804
- Möbius Function
- 1
- Radical
- 8709
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=23A031560
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=54A035585
- Numbers n such that 259*2^n-1 is prime.at n=15A050888
- a(n) = 8*n^2 - 3.at n=32A108928
- Sums of p-th to the q-th prime where p and q are twin primes.at n=21A114379
- Numbers k such that 3^k + 10 is prime.at n=21A217137
- Number of tilings of a 7 X n rectangle using integer-sided rectangular tiles of equal area.at n=25A220773
- Numbers k such that sigma(tau(phi(k))) = phi(tau(sigma(k))).at n=39A226118
- Number of partitions p of n that include (min(p) + max(p))/2 as a part.at n=41A238480
- Number of partitions p of n such that median(p) < mean(p).at n=32A240217
- Numbers n whose reversal is a multiple of the reversal of n+1.at n=11A250603
- Similar to A100787, but alternate with addition and multiplication instead. See Comments section for more information.at n=43A339951
- Numbers that are the sum of ten fourth powers in exactly eight ways.at n=33A345860
- Semiprimes that are the sum of two successive terms of A092192.at n=38A366167
- Triangle read by rows: T(n,k) is the number of n-node connected unsensed planar maps with an external face and k triangular internal faces, n >= 3, 1 <= k <= 2*n - 5.at n=75A378103