12453
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 6555
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7104
- Möbius Function
- -1
- Radical
- 12453
- Omega Function (Ω)
- 3
- 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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11.at n=16A022316
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=36A030299
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=30A055755
- a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes.at n=24A066509
- Conjectured number of numbers that are not the sum of three n-gonal numbers, or -1 if infinite.at n=8A118279
- Conjectured number of numbers that are not the sum of three (2n+1)-gonal numbers; bisection of A118279.at n=4A118281
- Has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and every number appears exactly one of the sequence or its first differences.at n=41A139310
- Triangle T(n,k)=number of forests of labeled rooted trees of height at most 1, with n labels and k nodes, where any root may contain >= 1 labels, n >= 0, 0<=k<=n.at n=40A143397
- 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, 1), (-1, 1, 0), (0, -1, 1), (1, 0, -1), (1, 0, 1)}.at n=8A149380
- a(n) = 2*a(n-1) - a(n-2) + 2*a(n-3) - a(n-4) + a(n-5), n > 5.at n=17A152718
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=3A178475
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=15A208182
- Number of arrays of maxima of three adjacent elements of some length n+2 0..6 array.at n=5A228459
- Number of arrays of maxima of three adjacent elements of some length 8 0..n array.at n=5A228463
- Number of partitions p of n such that (# 1s in p) = (#1s in conjugate(p)).at n=47A240691
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically.at n=38A268532
- a(n) = 2*A090495(n) - 1.at n=21A274297
- Expansion of Product_{r not a perfect power} 1/(1 - x^r).at n=55A305631
- Numbers k such that A339549(k) = A339549(k+1).at n=15A339550
- a(n) is the smallest multiple of 7 that can be formed by concatenating the first n positive integers in some order.at n=3A350570