12524
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22848
- Proper Divisor Sum (Aliquot Sum)
- 10324
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6000
- Möbius Function
- 0
- Radical
- 6262
- Omega Function (Ω)
- 4
- 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
- 112
- 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
- Decimal part of a(n)^(1/5) starts with reversal of its integer part: first term of runs.at n=5A034311
- Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1.at n=44A035970
- Numbers whose base-5 representation contains exactly three 0's and three 4's.at n=0A045217
- Number of isomorphism classes of irreducible posets with n labeled points.at n=8A046907
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=20A062681
- Number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, 100 cents (all historical U.S.A. coinage denominations up to 100 cents).at n=42A067997
- Numbers k such that k divides the (k+1)st Lucas number.at n=6A094397
- Numbers whose set of base 5 digits is {0,4}.at n=35A097251
- Numbers that are the sum of one or more consecutive squares in more than one way.at n=26A130052
- a(n)^3 ends in n^3.at n=24A167178
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=27A209988
- 7th iteration of the hyperbinomial transform on the sequence of 1's.at n=4A218499
- Number of nX2 0..2 arrays with no more than floor(nX2/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=9A222365
- Least positive integer m such that m + n divides pi(m)^2 + pi(n)^2, where pi(x) denotes the number of primes not exceeding x.at n=32A248044
- a(n) = Sum_{k=0..7} (n + k)^2.at n=36A276026
- Indices of primes in A026007.at n=38A285223
- Spherical growth function of the Lamplighter group L_2 with respect to the standard generators a, t.at n=16A288348
- Numbers k such that k^2 reversed is a prime and k^2+(k^2 reversed) is a prime.at n=37A306301
- Numbers that can be written as the sum of four or more consecutive squares in more than one way.at n=12A307937
- Number of compositions of n into parts with distinct multiplicities and with exactly seven parts.at n=42A321777