5936
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 7456
- 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
- 2496
- Möbius Function
- 0
- Radical
- 742
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 49
- Smith Number
- yes
- 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
- Oscillates under partition transform.at n=49A007213
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=48A015617
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 22.at n=6A031700
- Numbers k such that the decimal expansion of k! begins with k.at n=4A033147
- Least Smith number having digital sum A033662(n).at n=10A033663
- Number of ways to place a non-attacking white and black king on n X n chessboard.at n=8A035286
- Number of rooted 7-dimensional "polycubes" with n cells, with no symmetries removed.at n=3A048668
- Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1).at n=48A048790
- Larger of Smith brothers.at n=4A050220
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=18A060674
- Column 4 of A048790.at n=7A094160
- Triangle read by rows, formed from product of Aitken's (or Bell's) triangle (A011971) and Pascal's triangle (A007318).at n=26A095675
- a(n) = lcm(prime(n)+1, prime(n+1)+1) / 2.at n=46A124691
- Numbers k with all digits distinct and nonzero, such that none of k's digits divide k, but all the nonzero digits not in k do divide k.at n=0A133598
- Cumulative sums of A031443.at n=43A145060
- Differences of two positive 4th powers.at n=35A147857
- Differences of two coprime 4th powers.at n=26A147858
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (1, 1, 0), (1, 1, 1)}.at n=7A150714
- Numbers expressible as the difference of two nonnegative fourth powers.at n=43A152044
- Sum of the distinct prime factors of 2^n-1.at n=42A152057