5203
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5852
- Proper Divisor Sum (Aliquot Sum)
- 649
- 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
- 4620
- Möbius Function
- 0
- Radical
- 473
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 178
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=9A000345
- Number of set-like atomic species of degree n.at n=36A007650
- 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 71.at n=14A031569
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=32A039881
- Base-7 palindromes that start with 2.at n=24A043016
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=42A043084
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=35A045243
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=21A045940
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order two under binary matrix multiplication.at n=4A054466
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=28A063340
- Numbers m such that sigma(4m+5) = 6m.at n=4A067679
- a(n) is the least number k that A074389(k) = n.at n=10A074390
- Least x = a(n) such that sum of common prime divisors (without multiplicity) of sigma(x) and phi(x) equals n, or 0 if such number (apparently) does not exist.at n=19A082056
- G.f.: A(x) = exp(sum(n>=1, A084250(n)*x^n/n)), where A084250 lists the least distinct positive integers that allow A(x) to be an integer power series.at n=30A084251
- Numbers of the form 1+(1+p)*p^e, p prime and e>0.at n=40A087195
- a(n) = n^3 + n^2 + 1.at n=17A098547
- Odd squares written backwards and sorted.at n=30A107313
- Coefficients of x/(1+3*x+3*x^2-x^3).at n=13A108369
- Triangular array: T(n,k) = T(n,n) = 1, T(n,k) = 5*T(n-1, k-1) + 2*T(n-1, k), read by rows.at n=24A119727
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=20A124057