1157
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1260
- Proper Divisor Sum (Aliquot Sum)
- 103
- 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
- 1056
- Möbius Function
- 1
- Radical
- 1157
- 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
- 31
- Smith Number
- no
- 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
- Number of alkyls X^{II} C_n H_{2n+1} Y with n carbon atoms.at n=8A000645
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=39A001000
- a(n) = n^2 + 1.at n=34A002522
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=46A003113
- Numbers that are the sum of 10 positive 5th powers.at n=48A003355
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=33A004978
- Hoggatt sequence with parameter d=8.at n=4A005366
- a(1) = 1, a(2) = 0; for n > 2, a(n) = n*Fibonacci(n-2) (with the convention Fibonacci(0)=0, Fibonacci(1)=1).at n=12A006490
- Coordination sequence T4 for Zeolite Code DOH.at n=21A008081
- Coordination sequence T3 for Zeolite Code EUO.at n=21A008098
- Molien series for Weyl group E_7.at n=35A008583
- Expansion of exp(sinh(x))/cos(x).at n=7A009225
- Coordination sequence T2 for Zeolite Code -PAR.at n=24A009856
- Coordination sequence T3 for Zeolite Code RSN.at n=22A009887
- Coordination sequence T1 for Zeolite Code VNI.at n=21A009907
- a(n) = a(n-1) + a(n-4), starting 1,1,1,3.at n=22A014101
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=13A015639
- Expansion of 1/((1-5*x)*(1-8*x)).at n=3A016162
- Powers of fourth root of 13 rounded down.at n=11A018081
- Powers of fourth root of 13 rounded to nearest integer.at n=11A018082