4652
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8148
- Proper Divisor Sum (Aliquot Sum)
- 3496
- 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
- 2324
- Möbius Function
- 0
- Radical
- 2326
- 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
- 152
- 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 of floor(7n/2)-1 into n nonnegative integers each no greater than 7.at n=15A001980
- Number of partitions of at most n into at most 5 parts.at n=29A002622
- Number of ways in which n identical balls can be distributed among 7 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=6A005340
- Powers of fifth root of 14 rounded to nearest integer.at n=16A018154
- Powers of fifth root of 14 rounded up.at n=16A018155
- 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 34.at n=35A031532
- Multiplicity of highest weight (or singular) vectors associated with character chi_64 of Monster module.at n=36A034452
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=13A049910
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=23A051941
- The array of A063179 read by diagonals in direction of creation.at n=43A063180
- The array of A063179 read by diagonals in the 'up' direction.at n=37A063181
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 100 ).at n=29A063373
- Trisection of A007294.at n=29A073471
- a(n) = floor(T(n+1)!*T(n-1)!/(T(n)!)^2), where T(n) = n(n+1)/2 = the n-th triangular number.at n=34A077539
- Number of labeled connected 4-chromatic (i.e., chromatic number = 4) graphs on n nodes.at n=5A084274
- Self-convolution of Lucas numbers.at n=12A099924
- Expansion of 1/(1-2*x*c(3*x)), c(x) the g.f. of A000108.at n=5A110520
- Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k UDUU's, 0 <= k <= floor((n-1)/2).at n=28A116424
- a(n) = 6^n-5^n+1^n.at n=5A155639
- Partials sums of A001694.at n=31A174172