14011
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14012
- 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
- 14010
- Möbius Function
- -1
- Radical
- 14011
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 151
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1654
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=30A006004
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=49A036034
- Primes of the form 30*p + 1 where p is also prime.at n=35A051646
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=2A052358
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=26A056987
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=28A060261
- Primes whose sum of digits is 7.at n=40A062337
- Primes which can be expressed as concatenation of powers of 4 and 0's.at n=13A066595
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=34A094932
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=35A095651
- Prime numbers which when written in base 7 have a composite digit-sum.at n=13A096790
- Primes of the form 47n+5.at n=37A100760
- Lesser prime in pair prime(k) +/- k for some k.at n=26A107636
- Prime values of integers written in factorial base, interpreted as in base 10.at n=34A121402
- Primes congruent to 30 mod 41.at n=42A142227
- Primes congruent to 46 mod 49.at n=37A142453
- Primes congruent to 19 mod 53.at n=37A142549
- Primes congruent to 28 mod 59.at n=26A142755
- Primes congruent to 42 mod 61.at n=27A142840
- Incorrect duplicate of A062337.at n=26A176252