9092
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15918
- Proper Divisor Sum (Aliquot Sum)
- 6826
- 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
- 4544
- Möbius Function
- 0
- Radical
- 4546
- 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
- 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
- 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
- Number of solid partitions of n supported on graph of cube.at n=23A003404
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=33A064283
- Total sum of odd parts in all partitions of n.at n=20A066967
- Indices of prime Perrin numbers; values of n such that A001608(n) is prime.at n=26A112881
- Numbers k such that the sum of the first k primes is prime and the sum of the squares of the first k primes is also prime.at n=43A124225
- a(0) = a(1) = 1. a(n) = a(n-1) + a(n - b(n)), where b(n) is largest prime dividing n.at n=33A137809
- a(n) = 16*a(n-1) - 62*a(n-2) for n > 1; a(0) = 1, a(1) = 10.at n=4A163446
- Partial sums of near-repdigit primes A056710.at n=21A172983
- Irregular triangle read by rows: T(n,i) = number of alpha-labeled graphs with n edges that do not use the label i, for 1 <= i <= n-1 and n >= 4.at n=35A245518
- Irregular triangle read by rows: T(n,i) = number of alpha-labeled graphs with n edges that do not use the label i, for 1 <= i <= n-1 and n >= 4.at n=39A245518
- Magic sums of 3 X 3 semimagic squares composed of triangular numbers.at n=40A265197
- Magic sums of 3 X 3 semimagic squares composed of positive triangular numbers.at n=35A269060
- Numbers n such that there are precisely 5 groups of orders n and n + 1.at n=27A295991
- Sum of the largest parts of the partitions of n into 5 parts.at n=34A308827
- Sequence shifts left ten places under Weigh transform with a(n) = signum(n) for n<10.at n=46A316082
- Numbers that are the sum of seven fourth powers in four or more ways.at n=39A345570
- Numbers that are the sum of seven fourth powers in exactly four ways.at n=30A345826
- a(n) is the least positive integer that can be expressed as the sum of a prime number and a square of a nonnegative integer in exactly n ways.at n=34A365288
- Array read by rows: T(m,n) is the number of m-digit semiprimes with last digit n, 0 <= n <= 9.at n=56A374940