5153
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5154
- 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
- 5152
- Möbius Function
- -1
- Radical
- 5153
- 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
- 687
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (11^k - 1)/10 is prime.at n=8A005808
- Coordination sequence T3 for Zeolite Code HEU.at n=47A008118
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=6A020392
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=37A023264
- Duplicate of A005808.at n=8A028489
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.at n=17A031419
- Lower prime of a pair of consecutive primes having a difference of 14.at n=28A031932
- Primes that are concatenations of n with n + 2.at n=7A032625
- Primes of the form x^2+74*y^2.at n=33A033248
- The sequence e when b=[ 1,0,1,1,1,... ].at n=33A042953
- Primes with first digit 5.at n=34A045711
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=15A046961
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=24A046963
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=23A052356
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=21A054999
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=24A055472
- Primes p such that p^10 reversed is also prime.at n=25A059703
- Denoting 4 consecutive primes by p, q, r and s, these are the values of q such that q and r have 10 as a primitive root, but p and s do not.at n=40A060259
- Primes that are the sum of five consecutive composite numbers.at n=38A060330
- Numbers k for which phi(prime(k)) is a square.at n=37A062325