4770
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12636
- Proper Divisor Sum (Aliquot Sum)
- 7866
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1248
- Möbius Function
- 0
- Radical
- 1590
- Omega Function (Ω)
- 5
- 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
- 103
- 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 partitions into non-integral powers.at n=30A000148
- Number of loopless tree-rooted planar maps with 3 vertices and n faces and no isthmuses.at n=8A006428
- Coordination sequence T2 for Zeolite Code GOO.at n=47A008112
- Coordination sequence T6 for Zeolite Code NES.at n=44A008210
- Fibonacci sequence beginning 4, 18.at n=13A022384
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+3 or 12k-3.at n=54A036018
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=55A036024
- Coordination sequence T2 for Zeolite Code STT.at n=46A038423
- If a Fibonacci sequence is formed with first term = number of digits in n and second term = sum of decimal digits in n, then n itself occurs as a term in the sequence after the first two terms.at n=17A038868
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=13A045051
- Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).at n=40A063183
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=36A063361
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=19A068484
- Number of planar partitions of n with exactly 2 rows.at n=17A091356
- a(n) = Sum_{d|n, d==0 mod 3} d^2.at n=68A103636
- {Sum of all k-digit numbers > n }-{sum of all k-digit numbers < n}, n is a 'k'digit number.at n=14A109644
- Number of partitions of n into parts that are primes or squares of primes.at n=52A111901
- Record gaps between twin primes.at n=31A113274
- Numbers k such that 2*k-1, 4*k-1 and 6*k-1 are primes.at n=42A124486
- a(n) = floor(((1+sqrt(2))/2)^n).at n=44A125894