5252
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9996
- Proper Divisor Sum (Aliquot Sum)
- 4744
- 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
- 2400
- Möbius Function
- 0
- Radical
- 2626
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=26A014088
- Integer part of Gamma(n+1/10)/Gamma(1/10).at n=9A020063
- a(n) = 3*n^2 - 7*n + 6.at n=43A027599
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=34A031534
- Number of partitions in parts not of the form 21k, 21k+3 or 21k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=33A035981
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1.at n=4A037492
- Base-7 palindromes that start with 2.at n=25A043016
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=26A046127
- Vertically symmetric numbers.at n=31A053701
- Numbers using only the digits 2 and 5, that are both curved and straight.at n=24A072961
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=25A077338
- Multiples of 4 using only prime digits (2, 3, 5 and 7).at n=40A077534
- Square spiral of sums of selected preceding terms, starting at 1 (a spiral Fibonacci-like sequence).at n=18A094768
- G.f.: q^(2*n)* Product_{m=0..n-1} (1-q^(2*m+1))^2.at n=56A097198
- The first pair of digits sums up to 7. So does the second pair. And the third one and the fourth one, etc., with a(n) < a(n+1). When constructing the sequence, choose the next digits so as to slow the growth of the sequence as much as possible.at n=63A101325
- Lexicographically earliest sequence of increasing numbers whose digits satisfy the "Fractal Jump" rule using only the digits 2 and 5: keep the first digit "d" of the sequence, then jump over the next "d" digits and keep the digit "e" on which you have landed. Jump now over the next "e" digits and keep the digit "f" on which you have landed, etc. The succession "def..." of kept digits is the sequence itself.at n=12A105647
- Integers n such that 4*10^n + 61 is prime.at n=8A110949
- Numbers k for which 8*k+1, 8*k+3 and 8*k+7 are primes.at n=33A123978
- Expansion of eta(q^3) * eta(q^33) / ( eta(q)* eta(q^11)) in powers of q.at n=38A128663
- Number of unit square lattice cells enclosed by origin centered circle of diameter 2n+1.at n=41A136486