5237
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5238
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5236
- Möbius Function
- -1
- Radical
- 5237
- 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
- 147
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 697
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=42A019546
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=29A020360
- Smallest nonempty set S containing prime divisors of 10k+1 for each k in S.at n=38A020632
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=18A023664
- a(n) = n-th elementary symmetric function of {1, prime(1), prime(2), ..., prime(n)}.at n=5A024528
- Number of partitions of n in which the least part is 3.at n=50A026796
- Primes with first digit 5.at n=44A045711
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=17A050960
- Alternately append n-th prime to end or beginning of previous term.at n=3A053066
- Coefficients of the '6th-order' mock theta function sigma(q).at n=47A053271
- a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.at n=45A054016
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=13A054808
- Primes q of form q=10p+7, where p is also prime.at n=25A055783
- Primes p such that x^17 = 2 has no solution mod p.at n=40A058999
- Primes with every digit a prime and the sum of the digits a prime.at n=27A062088
- Primes with two representations: p*q*r - 2 = u*v*w + 2 where p, q, r, u, v and w are primes (not necessarily distinct).at n=39A063645
- Primes p such that p^6 + p^3 + 1 is prime.at n=28A066100
- Prime(n) and prime(n+2) use the same digits.at n=8A069794
- Largest prime factor of p(n), the n-th partition number A000041(n) (with a(0) = a(1) = 1 by convention).at n=53A071963
- Third differences of partition numbers A000041.at n=63A072380