13649
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13650
- 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
- 13648
- Möbius Function
- -1
- Radical
- 13649
- 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
- 120
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1613
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that 1 + product of primes up to p is prime.at n=14A005234
- Lower prime of a difference of 20 between consecutive primes.at n=28A031938
- Primes resulting from procedure described in A048388.at n=26A048389
- a(n) = A048141(3*n).at n=50A051061
- Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=32A105440
- Records in A134204.at n=29A133244
- Prime numbers, isolated from neighboring primes by more than 12.at n=34A137873
- Prime numbers, isolated from neighboring primes by >14.at n=18A137874
- Primes congruent to 37 mod 41.at n=39A142234
- Primes congruent to 18 mod 43.at n=36A142267
- Primes congruent to 19 mod 47.at n=33A142370
- Primes congruent to 27 mod 49.at n=36A142437
- Primes congruent to 28 mod 53.at n=28A142558
- Primes congruent to 9 mod 55.at n=34A142608
- Primes congruent to 20 mod 59.at n=28A142747
- Primes congruent to 46 mod 61.at n=26A142844
- Number of binary words of length n containing at least one subword 100001 and no subwords 10^{i}1 with i<4.at n=34A143284
- Hypotenuses c of primitive Pythagorean Triples (a,b,c) such that 2*a+1, 2*b+1 and 2*c+1 are primes.at n=31A165238
- Six-times-isolated primes: primes p such that none of p+-2, p+-4, p+-6, p+-8, p+-10 nor p+-12 are prime.at n=35A167840
- Subsequence of Pythagorean primes (A002144): each square is used only once.at n=41A199692