2578
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3870
- Proper Divisor Sum (Aliquot Sum)
- 1292
- 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
- 1288
- Möbius Function
- 1
- Radical
- 2578
- 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
- 146
- Smith Number
- yes
- 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 n X n symmetric matrices with nonnegative entries and all row sums 2.at n=6A000985
- Numbers that are the sum of 11 positive 7th powers.at n=15A003378
- Numerator of Sum_{k=0..n} (-1)^k/(2*k+1).at n=5A007509
- Coordination sequence T1 for feldspar.at n=34A008254
- Coordination sequence T2 for feldspar.at n=34A008255
- a(1) = 1, a(n) = 13*a(n-1) + n.at n=3A014896
- Coordination sequence T2 for Zeolite Code TER.at n=34A016434
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=25A020377
- Numbers with exactly 6 1's in their ternary expansion.at n=23A023697
- Coordination sequence T1 for Zeolite Code MWW.at n=34A024986
- Numbers k such that k^2 has only even digits.at n=42A030097
- 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 50.at n=7A031548
- Numbers with exactly five distinct base-7 digits.at n=15A031984
- Number of connected functions on n points with a loop of length 10.at n=6A032206
- Numbers with the property that all pairs of consecutive base-5 digits differ by more than 2.at n=36A032982
- Multiplicity of highest weight (or singular) vectors associated with character chi_71 of Monster module.at n=45A034459
- Number of different values of i^2 + j^2 + k^2 for i,j,k in [ 0,n ] (or [ -n,n ]).at n=37A034966
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 4 (mod 5).at n=49A035584
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=26A035998
- Number of partitions satisfying cn(0,5) + cn(2,5) <= cn(1,5) and cn(0,5) + cn(2,5) <= cn(4,5) and cn(0,5) + cn(3,5) <= cn(1,5) and cn(0,5) + cn(3,5) <= cn(4,5).at n=36A039883