5273
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
- 5274
- 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
- 5272
- Möbius Function
- -1
- Radical
- 5273
- 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
- 699
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 12 positive 7th powers.at n=32A003379
- Pentagonal numbers written backwards.at n=50A004163
- Primes of form n^2 + n + 17.at n=47A007635
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=37A010338
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=43A019546
- Primes of form x^2+89*y^2.at n=25A033257
- Denominators of continued fraction convergents to sqrt(159).at n=12A041293
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=29A045107
- Primes p such that p+6 and p+8 are also primes.at n=38A046138
- Sum of first n palindromic primes A002385.at n=17A046485
- Triangle formed from expansion of (x-1)*(x+2)*(x-3)*...*(x+-n).at n=49A047991
- Numerators of b(n) = (1/16^n)*(4/(8*n+1) - 2/(8*n+4) - 1/(8*n+5) - 1/(8*n+6)).at n=6A048581
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=28A049438
- a(n)=T(n,n), array T as in A049735.at n=29A049740
- a(n)=T(n,1), array T as in A049735.at n=41A049744
- Perfectly partitioned numbers: numbers k that divide the number of partitions p(k).at n=10A051177
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=13A054810
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=37A060744
- Primes with every digit a prime and the sum of the digits a prime.at n=28A062088
- 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=40A063645