2788
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5292
- Proper Divisor Sum (Aliquot Sum)
- 2504
- 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
- 1280
- Möbius Function
- 0
- Radical
- 1394
- 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
- 128
- 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
- Number of positive integers <= 2^n of form x^2 + 10 y^2.at n=14A000024
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=43A000601
- Number of partitions of n, with two kinds of 1, 2, 3 and 4.at n=15A000710
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=27A002964
- Coordination sequence T2 for Zeolite Code JBW.at n=35A008122
- Coordination sequence T1 for Zeolite Code MEL.at n=34A008150
- Coordination sequence T6 for Zeolite Code MTT.at n=32A008194
- Coordination sequence T4 for Zeolite Code ZON.at n=37A009922
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=1A014895
- Expansion of 1/(1-x^3-x^4-x^5-x^6).at n=29A017819
- Powers of fifth root of 17 rounded to nearest integer.at n=14A018163
- Powers of fifth root of 17 rounded up.at n=14A018164
- Number of connected chord diagrams of degree n.at n=6A018225
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=33A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=33A020337
- Coordination sequence T4 for Zeolite Code IFR.at n=37A024985
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=23A026038
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=38A026056
- Numbers n such that in n^3 the parity of digits alternates.at n=22A030159
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=32A031504