10098
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 15822
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 1122
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- Infinitary sociable numbers (smallest member of cycle).at n=1A004607
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=37A026067
- Related to triple factorial numbers 2*A034000(n+1).at n=5A034164
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+7 or 16k-7.at n=52A036023
- Numbers m such that prime(m) + Fibonacci(m) is prime.at n=14A050180
- (Terms in A029665)/2.at n=54A051425
- (Terms in A029643)/2.at n=55A051469
- a(n) = 18*(n - 2)*(2*n - 5).at n=17A060787
- a(n) = prime(n)^2 - prime(n+1).at n=25A062235
- Numbers n such that the arithmetic, geometric and harmonic means of phi(n) and sigma(n) are all integers.at n=11A065146
- Boustrophedon transform of the continued fraction of e (A003417).at n=8A080408
- Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n.at n=12A090057
- Sums of area and perimeter of primitive Pythagorean triples.at n=44A105521
- Expansion of (1-3*x^2+x^3)/(1-3*x+x^3).at n=9A123891
- Expansion of psi(-q^3) / psi(-q)^3 in powers of q where psi() is a Ramanujan theta function.at n=17A132974
- Numbers such that the square root of the sum of squares of their prime factors is a nonprime integer.at n=36A134606
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=8.at n=19A135193
- Numbers k such that sigma(k) = 9*phi(k).at n=6A163667
- a(n) = 9*n*(n+1).at n=33A163758
- Numbers m such that m and m+22 have the same sum of divisors.at n=35A172333