1177
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1296
- Proper Divisor Sum (Aliquot Sum)
- 119
- 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
- 1060
- Möbius Function
- 1
- Radical
- 1177
- 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
- yes
- 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
- 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=48A000124
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=22A000566
- Number of ways of partitioning n points on a circle into subsets only of sizes 2 and 3.at n=12A001005
- Smallest number containing n syllables in UK English.at n=11A002810
- Numbers that are the sum of 8 positive 6th powers.at n=16A003364
- a(n) = ceiling(1000*log_10(n)).at n=14A004227
- P-positions in Epstein's Put or Take a Square game.at n=33A005240
- Worst case of a Jacobi symbol algorithm.at n=5A005827
- The generalized Conway-Guy sequence w^{2}.at n=12A006756
- Coordination sequence T1 for Zeolite Code AFR.at n=26A008019
- Coordination sequence T2 for Zeolite Code CAS.at n=21A008064
- Coordination sequence T1 for Zeolite Code MEI.at n=25A008146
- Coordination sequence T1 for Coesite.at n=18A008267
- If a, b are in the sequence, so is ab+3.at n=31A009302
- a(n) is the concatenation of n and 7n.at n=10A009441
- Expansion of e.g.f. sec(sin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...at n=6A012293
- sec(sec(x)*tan(x))=1+1/2!*x^2+25/4!*x^4+1177/6!*x^6+98705/8!*x^8...at n=3A012799
- Odd heptagonal numbers (A000566).at n=11A014637
- Powers of fifth root of 2 rounded up.at n=51A018119
- Powers of fifth root of 8 rounded up.at n=17A018137