13553
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13554
- 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
- 13552
- Möbius Function
- -1
- Radical
- 13553
- 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
- 37
- 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
- 1604
- 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 87.at n=6A020426
- Primes p whose period of reciprocal equals (p-1)/7.at n=13A056212
- Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583.at n=2A066055
- Primes p such that x^11 = 2 has a solution mod p, but x^(11^2) = 2 has no solution mod p.at n=1A070187
- Primes p such that the period of the decimal expansion of 1/p is a square.at n=21A072858
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=37A088483
- Let p(k) = k-th prime; sequence gives primes q of the form q = k*p(k) - 1 for some k.at n=6A096065
- Integers with mutual residues -7.at n=3A110459
- Number of permutations of length n which avoid the patterns 1234, 1342, 1432.at n=8A116798
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=32A118507
- a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=23A121888
- Triangle T(n,k), 0<=k<=n, read by rows given by [0,1,2,3,4,5,6,...] DELTA [1,1,1,1,1,1,1,1,...] where DELTA is the operator defined in A084938.at n=33A127160
- Primes with prime "Look And Say" descriptions from right to left (irrespective of method A or method B).at n=31A127179
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=28A128548
- Primes p for which the period length of 1/p is a perfect power, A001597.at n=28A128948
- Primes in A023108(n); or Lychrel primes.at n=35A135316
- Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=13A136015
- Prime numbers, isolated from neighboring primes by more than 12.at n=33A137873
- Primes congruent to 8 mod 43.at n=40A142257
- Primes congruent to 17 mod 47.at n=36A142368