5253
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 2235
- 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
- 3264
- Möbius Function
- -1
- Radical
- 5253
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = p*(p-1)/2 for p = prime(n).at n=26A008837
- Coordination sequence for FeS2-Pyrite, S position.at n=35A009956
- Nearest integer to Gamma(n + 1/10)/Gamma(1/10).at n=9A020018
- Ceiling of Gamma(n+1/10)/Gamma(1/10).at n=9A020108
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=29A025004
- Pair up the numbers.at n=26A030656
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=27A031901
- Lucky numbers that are decimal concatenations of n with n + 1.at n=6A032651
- a(n) = (2*n-1)*(4*n-1).at n=26A033567
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=40A034072
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=35A034592
- a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.at n=14A047021
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=50A052479
- The number phi_2(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row.at n=22A053993
- Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives k values.at n=10A054207
- Number of asymmetric (identity) trees with n nodes and 4 leaves.at n=27A055335
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n.at n=20A057258
- Binomial coefficients formed from consecutive primes: a(n) = binomial( prime(n+1), prime(n) ).at n=25A058077
- a(n) = 25*n*(n + 1)/2 + 3.at n=20A061793
- Positive numbers whose product of digits is 10 times their sum.at n=24A062043