1158
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2328
- Proper Divisor Sum (Aliquot Sum)
- 1170
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 384
- Möbius Function
- -1
- Radical
- 1158
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of e.g.f. 6*exp(x)/(1-x)^4.at n=3A001341
- a(n) = Sum_{k = 0..3} (n+k)! C(3,k).at n=4A001345
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=34A002311
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=18A003600
- Sums of successive Motzkin numbers.at n=9A005554
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=17A005899
- Number of n-step spirals on cubic lattice.at n=6A006779
- Coordination sequence T3 for Zeolite Code BOG.at n=24A008051
- Coordination sequence T1 for Zeolite Code EMT.at n=28A008086
- a(0) = 1, a(n) = n^2 + 2 for n > 0.at n=34A010000
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=34A011913
- Composite numbers that are equal to the sum of the first k composites for some k.at n=30A013921
- Partial sums of binary rooted tree numbers.at n=12A014167
- Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=53A017885
- Powers of fourth root of 13 rounded up.at n=11A018083
- Powers of fourth root of 23 rounded down.at n=9A018111
- Powers of fourth root of 23 rounded to nearest integer.at n=9A018112
- a(n)-th squarefree is sum of first k squarefrees for some k.at n=28A020643
- Expansion of Product_{m>=1} (1+x^m)^18.at n=3A022583
- Katadromes: digits in base 6 are in strict descending order.at n=46A023788