2924
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5544
- Proper Divisor Sum (Aliquot Sum)
- 2620
- 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
- 1344
- Möbius Function
- 0
- Radical
- 1462
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Larger of amicable pair.at n=2A002046
- Numbers that are the sum of 12 positive 6th powers.at n=46A003368
- Number of permutations of [n] with four inversions.at n=12A005287
- Start with 1, apply 1->12, 21->21, 22->21, 2->2 (for final 2); a(n) = length of n-th term.at n=24A013950
- Number of partitions of n into distinct parts, none being 8.at n=51A015755
- Coordination sequence T3 for Zeolite Code TER.at n=36A016435
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-7).at n=19A023437
- A B_2 sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct.at n=40A025582
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 26.at n=38A031524
- Numbers k whose decimal representation, read as a base-18 value and divided by k, yields an integer.at n=23A032567
- Expansion of sum ( q^n / product( 1-q^k, k=1..3*n), n=0..inf ).at n=23A035295
- Base-6 palindromes that start with 2.at n=23A043011
- Numbers having three 5's in base 8.at n=19A043443
- Numbers n such that string 0,8 occurs in the base 9 representation of n but not of n-1.at n=38A044259
- Numbers k such that the string 2,4 occurs in the base 10 representation of k but not of k-1.at n=32A044356
- Numbers n such that string 0,0 occurs in the base 9 representation of n but not of n+1.at n=35A044632
- Numbers k such that string 0,8 occurs in the base 9 representation of k but not of k+1.at n=38A044640
- Numbers n such that string 2,4 occurs in the base 10 representation of n but not of n+1.at n=32A044737
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=24A044885
- Numbers whose base-5 representation contains exactly one 3 and three 4's.at n=34A045299