1113
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1728
- Proper Divisor Sum (Aliquot Sum)
- 615
- 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
- 624
- Möbius Function
- -1
- Radical
- 1113
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=40A000009
- Number of NP-equivalence classes of threshold functions of n or fewer variables.at n=6A000617
- Number of compositions of n into 3 ordered relatively prime parts.at n=48A000741
- Smallest natural number requiring n letters in English.at n=29A001166
- Number of letters in English name for n increases at these numbers.at n=20A001619
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=33A002643
- Numbers that are the sum of 7 positive 6th powers.at n=14A003363
- a(n) = 1000*log_10(n) rounded down.at n=12A004225
- a(n) = n*(5*n+1)/2.at n=21A005475
- Number of rooted planar maps with 4 faces and n vertices and no isthmuses.at n=4A006468
- Describe the previous term! (method A - initial term is 3).at n=2A006715
- Numbers that are divisible by the product of their digits.at n=36A007602
- Juxtapose pairs of primes.at n=2A007795
- Numbers that contain only 1's, 2's and 3's.at n=41A007932
- Coordination sequence T1 for Zeolite Code AFI.at n=23A008014
- Coordination sequence T1 for Zeolite Code CAS.at n=20A008063
- Coordination sequence T3 for Zeolite Code CAS.at n=20A008065
- Molien series for A_4.at n=41A008627
- Expansion of e.g.f.: exp(sin(x)/cosh(x)).at n=7A009215
- Coefficients in expansion of sqrt(2) as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=34A011193