8957
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9882
- Proper Divisor Sum (Aliquot Sum)
- 925
- 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
- 8112
- Möbius Function
- 0
- Radical
- 689
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Discriminants of totally real quartic fields (see comments).at n=33A002769
- Expansion of (1+2*x+3*x^2)/((1-x)^3*(1-x^2)).at n=25A055232
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=35A073735
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=30A074173
- a(n) = (A085249(n) - 1)/6.at n=17A088349
- Odd interprimes divisible by 13.at n=38A124619
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=7A150600
- Composite numbers of form 8n+5 with all prime factors of form 8m+5.at n=36A175486
- Number of partitions of 3 copies of n into distinct parts.at n=18A258281
- Number of partitions of 3*n that have exactly n prime parts.at n=30A299731
- a(n) is the number of partitions p = p(1) >= p(2) >= ... >= p(k) of n whose alternating sum is a part of p.at n=37A308410
- Sum of the prime parts in the partitions of n into 4 parts.at n=44A309465
- Ascending list of base-60 happy numbers written in base 10.at n=25A318235
- Apply Lenormand's transformation k -> A318921(k) to the Fibonacci numbers.at n=40A318922
- Numbers k in A228058 such that also A001065(k) is in A228058.at n=12A325380
- Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime.at n=18A325883
- Numbers of the form p^2 * q where p and q are primes with p < q < p^2.at n=49A355446
- Numbers k such that k and k+2 both have exactly 6 divisors.at n=32A356743
- Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime.at n=21A385452