3153
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4208
- Proper Divisor Sum (Aliquot Sum)
- 1055
- 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
- 2100
- Möbius Function
- 1
- Radical
- 3153
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- Expansion of a modular function for Gamma_0(21).at n=17A002511
- Coordination sequence T2 for Zeolite Code AEL.at n=37A008005
- Coordination sequence T4 for Zeolite Code NES.at n=36A008208
- Coordination sequence T4 for Zeolite Code SGT.at n=35A008232
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=45A011909
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=39A020373
- 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 36.at n=22A031534
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=38A031892
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=5A031903
- Numbers whose set of base-6 digits is {2,3}.at n=37A032806
- (nextprime(3^n)-nextprime(2^n))/2.at n=8A037129
- Number of primes less than 1000n.at n=28A038812
- Numbers n such that string 5,3 occurs in the base 10 representation of n but not of n-1.at n=34A044385
- Numbers n such that string 5,3 occurs in the base 10 representation of n but not of n+1.at n=34A044766
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=11A045171
- Numbers whose base-5 representation contains exactly three 0's and one 3.at n=31A045200
- Coordination sequence T2 for Zeolite Code DON.at n=38A047954
- Number of 2-element intersecting families (with not necessarily distinct sets) whose union is an n-element set.at n=7A053156
- E.g.f.: exp(exp(sinh(x))-1)-1.at n=7A053488
- a(n) = Sum_{k=1..n} (2k-1)^(2k-1).at n=2A061787