1276
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2520
- Proper Divisor Sum (Aliquot Sum)
- 1244
- 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
- 560
- Möbius Function
- 0
- Radical
- 638
- 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
- 57
- 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
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=50A000124
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=58A001318
- Related to Latin rectangles.at n=3A001625
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=47A003113
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=29A005449
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=36A005733
- a(n) = 3 + n/2 + 7*n^2/2.at n=19A006124
- Coordination sequence T1 for Zeolite Code AEI.at n=27A008001
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=43A008822
- 3x+1 sequence starting at 63.at n=50A008874
- 3x+1 sequence starting at 95.at n=48A008875
- 3x+1 sequence starting at 27.at n=54A008884
- Coordination sequence T5 for Zeolite Code RSN.at n=23A009889
- Coordination sequence T4 for Zeolite Code ZON.at n=25A009922
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=7A010016
- Number of lines through exactly 6 points of an n X n grid of points.at n=29A018813
- Coordination sequence T3 for Zeolite Code CZP.at n=23A019458
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=15A020371
- a(n) = n*(21*n + 1)/2.at n=11A022279
- Number of self-avoiding closed walks (from (0,0) to (0,0)) of length 2n in strip {-1, 0, 1} X Z.at n=8A022444