11297
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 2143
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- -1
- Radical
- 11297
- 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
- 60
- 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
- Number of plane partitions (or planar partitions) of n.at n=16A000219
- a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5).at n=10A005732
- Total number of triangles visible in regular n-gon with all diagonals drawn.at n=10A006600
- Number of permutations satisfying -k <= p(i)-i <= r and p(i)-i not in I, i=1..n, with k=1, r=4, I={1,2}.at n=25A079972
- Inverse Moebius transform of the shifted tetrahedral numbers.at n=35A116963
- Let M be the matrix defined in A111490. Sequence gives M(2,1)-M(1,2), M(2,1)+M(3,1)+M(3,2)-M(1,2)-M(1,3)-M(2,3), etc.at n=46A123329
- a(n) = Sum_{y=1..n} Sum_{x=1..n} floor((x^k + y^k)^(1/k)) with k = 3.at n=24A211792
- Composite squarefree numbers n such that p(i)-7 divides n+7, where p(i) are the prime factors of n.at n=14A225707
- Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=26A240756
- The difference between A089580(n) and A089579(n).at n=15A275358
- Sphenic numbers that are also the sum of three consecutive primes.at n=40A335969
- Total number of triangles visible in a regular (2n+1)-gon with all diagonals drawn.at n=5A341441
- Triprimes a such that, if b is the next triprime, a + b and b - a are also triprimes.at n=46A365833
- Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime.at n=23A385452