1117
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1118
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 1116
- Möbius Function
- -1
- Radical
- 1117
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 187
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are not the sum of 4 tetrahedral numbers.at n=47A000797
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=47A000921
- Number of nonequivalent dissections of an (n+2)-gon by nonintersecting diagonals up to rotation and reflection.at n=8A001004
- Describe the previous term! (method A - initial term is 7).at n=2A001145
- Smallest natural number requiring n letters in English.at n=30A001166
- Number of letters in English name for n increases at these numbers.at n=21A001619
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=11A001979
- Number of transitive permutation groups of degree n.at n=19A002106
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=49A002644
- Numbers that are the sum of 11 positive 6th powers.at n=18A003367
- Divisible only by primes congruent to 4 mod 7.at n=34A004622
- Number of diagonally symmetric polyominoes with n cells.at n=15A006748
- Primes of the form 8k + 5.at n=49A007521
- Coordination sequence T4 for Zeolite Code DDR.at n=21A008074
- Coordination sequence T1 for Zeolite Code EPI.at n=21A008090
- Coordination sequence T2 for Zeolite Code SGT.at n=21A008230
- Least m such that the continued fraction for sqrt(m) has period n.at n=41A013646
- Primes p==1 (mod 6) such that 3 and -3 are both cubes (one implies other) modulo p.at n=29A014753
- Primes with primitive root 32.at n=55A019358
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=0A020380