13127
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13128
- 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
- 13126
- Möbius Function
- -1
- Radical
- 13127
- 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
- 50
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1562
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 7 nonzero 8th powers.at n=15A003385
- a(0) = 1, a(n) = 21*n^2 + 2 for n>0.at n=25A010011
- Lower prime of a difference of 20 between consecutive primes.at n=26A031938
- Numerators of continued fraction convergents to sqrt(536).at n=7A042024
- First occurrence of run of primes congruent to 3 mod 4 of exactly length n.at n=5A055624
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=21A067379
- Primes p such that p-5 == 0 (mod phi(p-5)).at n=31A067557
- Primes of the form floor((10/9)^k).at n=17A067903
- Take A000040, omit commas: 23571113171923..., select 5-digit primes seen when scanning from left.at n=11A073038
- Duplicate of A055624.at n=5A092568
- Smallest prime factor of A104365(n) = A104350(n) + 1.at n=35A104366
- Primes p such that googol - p is prime.at n=9A108252
- Primes congruent to 7 mod 41.at n=39A142204
- Primes congruent to 12 mod 43.at n=38A142261
- Primes congruent to 14 mod 47.at n=34A142365
- Primes congruent to 44 mod 49.at n=34A142451
- Primes congruent to 36 mod 53.at n=24A142566
- Primes congruent to 37 mod 55.at n=38A142627
- Primes congruent to 17 mod 57.at n=42A142676
- Primes congruent to 29 mod 59.at n=30A142756