13003
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
- 13004
- 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
- 13002
- Möbius Function
- -1
- Radical
- 13003
- 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
- 125
- 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
- 1549
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of cube root of 2 rounded down.at n=41A017979
- Palindromic primes in base 8.at n=30A029976
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=44A035979
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.at n=4A037587
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2.at n=6A037653
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 5.at n=14A038636
- Base 8 palindromes that start with 3.at n=29A043023
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=36A046008
- Primes of the form 6*k^2 + 6*k + 31.at n=39A060844
- Primes whose sum of digits is 7.at n=39A062337
- Primes of the form k^2 + 7.at n=29A079138
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=29A094458
- Expansion of (1-2*x^2)/((1-2*x)*(1+x-x^2)).at n=15A099163
- Primes p such that little googol + p is prime.at n=28A108255
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=40A109982
- Prime quadruples: 2nd term.at n=12A136720
- Number of phylogenetic rooted trees with n unlabeled objects.at n=9A141268
- Primes congruent to 16 mod 37.at n=40A142125
- Primes congruent to 6 mod 41.at n=40A142203
- Primes congruent to 31 mod 47.at n=35A142382