5524
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9674
- Proper Divisor Sum (Aliquot Sum)
- 4150
- 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
- 2760
- Möbius Function
- 0
- Radical
- 2762
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- 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 n, with two kinds of 1, 2, 3 and 4.at n=17A000710
- Coordination sequence T6 for Zeolite Code EUO.at n=46A008101
- Coordination sequence for diamond.at n=47A008253
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=21A011936
- Number of lines through exactly 5 points of an n X n grid of points.at n=36A018812
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=36A025202
- a(n)=T(n,n-4), T given by A026568. Also a(n) = number of integer strings s(0),...,s(n) counted by T, such that s(n)=4.at n=8A026573
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=7A031818
- Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) <= cn(2,5) = cn(3,5).at n=11A036890
- Number of 2n-bead balanced binary strings, rotationally equivalent to reverse.at n=11A045653
- McKay-Thompson series of class 27b for the Monster group.at n=26A058601
- Partial sums of the squares of the terms of A060999.at n=7A061001
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=45A061668
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=30A071319
- Interprimes which are of the form s*prime, s=4.at n=24A075279
- Values of n for which the concatenations 1nn1, 3nn3, 7nn7 and 9nn9 are all primes.at n=5A102504
- Numbers n such that 88 * 10^n + 1 is prime.at n=15A109749
- Number of partitions of n such that the size of the tail below the Durfee square is equal to the size of the tail to the right of the Durfee square.at n=49A114424
- Triangle read by rows: T(n,k) is the number of ternary sequences of length n containing k subsequences 000 (consecutively; n,k>=0).at n=23A119825
- Number of ternary words of length n with no 000's.at n=8A119826