12113
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12114
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12112
- Möbius Function
- -1
- Radical
- 12113
- 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
- 68
- 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
- 1451
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=19A020386
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=25A046123
- a(n) = floor(47*(n-3/2)^(3/2)).at n=40A050256
- a(n+1) is the smallest prime ending with (but not equal to) a(n), where a(1)=3.at n=4A053583
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=26A054825
- McKay-Thompson series of class 35B for Monster.at n=41A058641
- Primes p such that p^12 reversed is also prime.at n=32A059705
- Primes having only {1, 2, 3} as digits.at n=36A062350
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=15A067860
- a(1) = 3; thereafter a(n) = the smallest prime of the form d0...0a(n-1), where d is a single digit, or 0 if no such prime exists.at n=4A077713
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=14A088291
- a(n) = smallest prime in which n substrings containing the least significant digit are primes.at n=4A088604
- Primes p such that the next prime after p can be obtained from p by adding the product of the digits of p.at n=9A089823
- Number of partitions of n such that the least part occurs with odd multiplicity.at n=36A096375
- Number of products of factorials not exceeding n!.at n=21A101976
- Coefficients of numerator polynomials of g.f.s for a certain necklace problem involving prime numbers.at n=49A103728
- Column k=8 sequence of array A103728.at n=2A103735
- Central numbers in triangle A103728.at n=5A103920
- Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=27A104948
- Primes whose product of digits is 6.at n=13A107692