12023
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13128
- Proper Divisor Sum (Aliquot Sum)
- 1105
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10920
- Möbius Function
- 1
- Radical
- 12023
- Omega Function (Ω)
- 2
- 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
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=35A090424
- Quaternary emirpimes.at n=36A114015
- Sum of the sizes of the Durfee squares of all partitions of n into odd parts.at n=48A116465
- Eigensequence of A053121.at n=12A130018
- Number of compositions of n with parts in N which avoid the pattern 221.at n=15A134044
- Number of n X n binary arrays with rows, considered as binary numbers, in strictly increasing order, and columns, considered as binary numbers, in nondecreasing order, and no more than 4 ones in any row or column.at n=4A151804
- a(n) = n*(2*n^2 + 5*n + 15)/2.at n=22A163673
- Numbers n such that 10^n - 77 is prime.at n=20A178436
- Sum of numbers of bipartite partitions of (n,k) into distinct pairs for 0<=k<=n.at n=9A219557
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right.at n=20A234691
- Numerator of the n-th partial sum of the reciprocals of the successive prime gaps.at n=46A274827
- Numbers k such that the ring of integers of Q(2^(1/k)) is not Z[2^(1/k)].at n=13A342390
- Smallest number k with A355915(k) = n.at n=24A356792
- Number of integer partitions of n whose multiplicities have integer median.at n=34A360687
- Number of interval posets of permutations of size n, considered up to isomorphism.at n=10A373455