10002
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20016
- Proper Divisor Sum (Aliquot Sum)
- 10014
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3332
- Möbius Function
- -1
- Radical
- 10002
- 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
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers written in base of triangular numbers.at n=16A000462
- Primes in ternary.at n=22A001363
- n written in base where place values are positive squares.at n=26A007961
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=25A010006
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=20A010015
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=10A023059
- 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 100.at n=0A031598
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 100.at n=1A031778
- Lexicographically earliest strictly increasing base 3 autovarious sequence: a(n) = number of distinct a(k) mod 3^n (written in base 3).at n=11A037091
- Positive numbers having the same set of digits in base 3 and base 10.at n=31A037422
- Numbers n with property that n is a substring of its base 5 representation.at n=7A038105
- Lexicographically earliest strictly increasing base 4 autovarious sequence: a(n) = number of distinct a(k) mod 4^n (written in base 4).at n=10A038113
- Numbers having three 0's in base 10.at n=10A043491
- Triangle of rooted planar maps up to orientation-preserving isomorphisms.at n=60A046653
- a(n) * a(n)_reversed is a palindrome (and a(n) is not palindromic).at n=28A048344
- Composites whose sum of digits equals number of its prime factors, with multiplicity.at n=35A050689
- Integers k < (reversal of k) such that (reversal of k) + 1 is divisible by k-1.at n=4A052148
- Numbers whose sum of digits is 3.at n=20A052217
- Numbers k such that k^2 contains only digits {0,1,4}, not ending with zero.at n=10A058413
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=25A060814