12054
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 16674
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1722
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 187
- 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
- a(n) = floor(n^3 / e).at n=32A032636
- Number of days in n years (n=1 is the first leap year).at n=32A033174
- Multiplicity of highest weight (or singular) vectors associated with character chi_93 of Monster module.at n=37A034481
- Least possible integer k/(product of digits k) for k with n digits.at n=18A034685
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 17.at n=11A090891
- Number of series-reduced balanced trees with n leaves.at n=25A120803
- 14 times triangular numbers.at n=41A163756
- (2^(p-1) modulo p^2) + (3^(p-1) modulo p^2), where p = prime(n).at n=31A240987
- Number of cyclic arrangements of S={1,2,...,n} such that the difference between any two neighbors is at most 3.at n=17A242525
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^57 is prime.at n=34A244390
- Number of length 2+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=16A248539
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 467", based on the 5-celled von Neumann neighborhood.at n=25A272320
- Greatest integer k such that k/2^n < 1/e.at n=15A293339
- Triangle read by rows: T(n,k) is the number of permutations of length n composed of exactly k overlapping adjacent runs (for n >= 1 and 1 <= k <= n).at n=38A309993
- Number of maximal subsets of {1..n} containing n such that every ordered pair of distinct elements has a different difference.at n=31A325880
- Number of nonequivalent 5-column binary matrices with n ones in every column and any number of distinct nonzero rows up to permutation of rows and columns.at n=8A331719
- The number of days elapsed since the Gregorian (proleptic) date Sunday, December 31, 1 BC on 1/1/n, where 1/1/n is the Gregorian date in the format month/day/year, the New Year's Day of the year n.at n=33A350471
- Number of integer compositions of n whose leaders of maximal anti-runs are not distinct.at n=15A374678
- Numbers that are a sum of both four and six consecutive prime numbers.at n=23A380433
- Nonsquarefree numbers k that are not divisible by p^p for any prime p, and for which A276085(k) is a multiple of A003557(k), where A276085 is the primorial base log-function.at n=44A391866