1255
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1512
- Proper Divisor Sum (Aliquot Sum)
- 257
- 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
- 1000
- Möbius Function
- 1
- Radical
- 1255
- 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
- 88
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=23A000041
- a(n) = 1000*log_10(n) rounded down.at n=17A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=17A004226
- Number of irreducible positions of size n in Montreal solitaire.at n=7A007050
- From the game of Mousetrap.at n=6A007710
- Coordination sequence T1 for Zeolite Code CAS.at n=22A008063
- Coordination sequence T2 for Zeolite Code EUO.at n=22A008097
- Coordination sequence T3 for Zeolite Code EUO.at n=22A008098
- Coordination sequence T9 for Zeolite Code EUO.at n=22A008104
- Coordination sequence T1 for Zeolite Code MEP.at n=21A008157
- Coordination sequence T1 for Zeolite Code STI.at n=24A008234
- Coordination sequence T1 for Zeolite Code DFO.at n=27A009875
- Numbers that are not the sum of a square and a prime.at n=30A014090
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=23A015628
- Powers of cube root of 7 rounded down.at n=11A017994
- Powers of cube root of 7 rounded to nearest integer.at n=11A017995
- Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}.at n=44A018805
- Nearest integer to Gamma(n + 6/11)/Gamma(6/11).at n=7A020009
- a(n) = floor(Gamma(n+6/11)/Gamma(6/11)).at n=7A020054
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=4A020342