9255
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14832
- Proper Divisor Sum (Aliquot Sum)
- 5577
- 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
- 4928
- Möbius Function
- -1
- Radical
- 9255
- Omega Function (Ω)
- 3
- 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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = floor( n*(n-1)*(n-2)/8 ).at n=43A011890
- Expansion of Product_{m>=1} (1+x^m)^20.at n=4A022585
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=41A027578
- Coefficients of replicable function number 12c.at n=25A058491
- Antidiagonal sums of square array A082011.at n=14A082014
- Number of partitions of n which represent first player winning Chomp positions with unique winning moves.at n=35A112472
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=26A119455
- a(n) = n*Fibonacci(n) + binomial(n, 2).at n=14A132920
- McKay-Thompson series of class 12c for the Monster group with a(0) = -4.at n=50A186930
- McKay-Thompson series of class 12c for the Monster group with a(0) = 4.at n=50A187045
- E.g.f.: 1 + Sum_{n>=1} x^n/n! * Product_{k=1..n} (exp(k*x)-1)/(exp(x)-1).at n=6A196193
- Number of cubic plane graphs with 2n nodes, minimal face size 3 and maximal face size 6.at n=25A219747
- Number T(n,k) of parts of each size k^2 in all partitions of n^2 into squares; triangle T(n,k), 1 <= k <= n, read by rows.at n=36A229468
- Number of partitions of n for which (number of occurrences of the least part) > (number of occurrences of greatest part).at n=33A236544
- Number of partitions p of n such that 2*min(p) + (number of parts of p) is not a part of p.at n=32A238542
- Number of Dyck paths of semilength n having exactly 6 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=5A243876
- Szeged index of the prism graph C_n X P_2 (n >=3).at n=12A245829
- Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=2A253527
- Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=1A253528
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=7A253533