12053
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12780
- Proper Divisor Sum (Aliquot Sum)
- 727
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11328
- Möbius Function
- 1
- Radical
- 12053
- 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
- 24
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=39A020364
- Number of days in n years (n=4 is the first leap year).at n=32A033171
- Number of days in n years (n=3 is the first leap year).at n=32A033172
- Number of days in n years (n=2 is the first leap year).at n=32A033173
- Number of partitions of n into parts not of the form 23k, 23k+11 or 23k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=35A035999
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=20A051974
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=39A092127
- Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes.at n=13A092128
- Number of rooted trees with total weight n, where the weight of a node at height k is k (with the root considered to be at level 1).at n=50A117357
- Odd numbers producing 5 odd numbers in the Collatz iteration.at n=39A198588
- Odd numbers producing 20 even numbers in the Collatz iteration.at n=34A199818
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>=2n.at n=23A211645
- Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms.at n=5A249877
- T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms.at n=26A249883
- Number of length 6+6 0..n arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms.at n=1A249889
- Maximum value of the cyclic convolution of the first n positive integers with themselves.at n=33A294172
- Number of noncrossing partitions of an n-set up to rotation with all blocks having a prime number of elements.at n=17A303874