10023
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14448
- Proper Divisor Sum (Aliquot Sum)
- 4425
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- -1
- Radical
- 10023
- 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
- no
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*(n-1)*(n-2)/30).at n=68A011912
- Positive numbers k such that k and 3*k are anagrams in base 4 (written in base 4).at n=1A023060
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=10A023069
- a(n) = floor( exp(11/16)*n! ).at n=6A030902
- Positive numbers having the same set of digits in base 4 and base 10.at n=35A037428
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,3,0.at n=6A037737
- Numbers having three 6's in base 9.at n=36A043479
- Reversion of y - y^2 + y^3 - y^4 - y^5.at n=12A063025
- Smallest integer in Recamán's sequence (A005132) to appear n times.at n=6A064369
- Where 3^n occurs in n-almost primes, starting at a(0)=1.at n=19A078843
- a(1) = 7 then the smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=42A083994
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=18A085546
- A card-arranging problem: values of n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a fifth power for every i.at n=37A096906
- Each digit of a(n) appears in a(n+1) and a(n+1) > a(n) is minimal.at n=31A107411
- Smallest number m such that A114228(m) = n.at n=43A114229
- A123896 sorted and duplicates removed.at n=25A123902
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 0, 1), (1, 0, 0), (1, 1, -1)}.at n=8A149961
- Number of nondecreasing strings of numbers x(i=1..n) in -5..5 with sum x(i)^3 equal to 0.at n=16A188273
- O.g.f.: Sum_{n>=0} n! * x^n / Product_{k=1..n} (1 - (2*k-1)*x).at n=6A189919
- Smallest number with n nonprime substrings (Version 1: substrings with leading zeros are considered to be nonprime).at n=12A213302