5460
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 13356
- 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
- 1152
- Möbius Function
- 0
- Radical
- 2730
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- 15
- 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
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=33A000793
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=32A000793
- Number of degree-n permutations of order exactly 4.at n=7A001473
- Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=6A002444
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=12A002790
- Increasing values of A000793 (largest order of permutation of n elements).at n=21A002809
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=64A003644
- a(n) = ceiling(1000*log_2(n)).at n=43A004267
- Unitary harmonic numbers (those for which the unitary harmonic mean is an integer).at n=9A006086
- Denominators of Cauchy numbers of first type.at n=12A006233
- Numerators of worst case for Engel expansion.at n=32A006539
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=37A007258
- Theta series of A_5 lattice.at n=28A008445
- Smallest number beginning with n and having n different prime divisors (which may be repeated).at n=4A011753
- f-vectors for simplicial complexes of dimension at most 5 on at most n-1 vertices.at n=7A011830
- Three-fold exponential convolution of Fibonacci numbers with themselves.at n=7A014336
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=14A019292
- a(n) = n*(19*n - 1)/2.at n=24A022276
- Theta series of A*_14 lattice.at n=22A023926
- 7 times triangular numbers: 7*n*(n+1)/2.at n=39A024966