1954
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2934
- Proper Divisor Sum (Aliquot Sum)
- 980
- 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
- 976
- Möbius Function
- 1
- Radical
- 1954
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 99
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of transitive permutation groups of degree n.at n=15A002106
- Number of sum-free subsets of {1, ..., n}.at n=16A007865
- Number of permutations that are 2 "block reversals" away from 12...n.at n=8A007972
- Coordination sequence T2 for Zeolite Code PHI.at n=32A008228
- Coordination sequence T3 for Zeolite Code STI.at n=30A008236
- Number of partitions of n into its divisors with at least one part of size 1.at n=35A014648
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 3), t = (Lucas numbers).at n=9A024877
- a(n) = T(2*n, n+1), T given by A027011.at n=5A027012
- T(n,n+3), T given by A027960.at n=9A027963
- T(n, 2n-9), T given by A027960.at n=7A027971
- a(n) = Sum_{k divides 3^n} S(k), where S is the Kempner function A002034.at n=42A029714
- 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 44.at n=2A031542
- Numbers with the property that all pairs of consecutive base-5 digits differ by more than 2.at n=32A032982
- Fractional part of square root of a(n) starts with 2: first term of runs.at n=41A034108
- a(n) = ceiling((n + 1/2)^3).at n=11A034131
- Number of planar polyhexes with n cells and a single hole of size at least 2.at n=11A038140
- Numbers k such that 4 and 5 occur juxtaposed in the base-10 representation of k but not of k-1.at n=39A043246
- Numbers k such that 4 and 5 occur juxtaposed in the base-10 representation of k but not of k+1.at n=39A044026
- Numbers n such that string 4,2 occurs in the base 8 representation of n but not of n-1.at n=34A044221
- Numbers k such that string 1,1 occurs in the base 9 representation of k but not of k-1.at n=24A044261