11572
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 10604
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5240
- Möbius Function
- 0
- Radical
- 5786
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 k such that the continued fraction for sqrt(k) has period 76.at n=32A020415
- Numbers k such that 5*3^k + 2 is prime.at n=32A058590
- a(n) = |{m : multiplicative order of 10 mod m is equal to n}|.at n=53A059892
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=13A077096
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=41A117710
- Pentagonal numbers that are the sum of a nonzero pentagonal number and a nonzero square in at least one way.at n=32A134938
- 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, 0), (0, 1, 1), (1, -1, 1), (1, 1, -1)}.at n=8A149051
- Triangle read by rows: absolute values of odd-numbered rows of A159041.at n=12A171692
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and permanent=trace.at n=34A211145
- Numbers n such that n^9+9 and n^9-9 are prime.at n=11A239505
- a(n) is the minimum number greater than a(n-1) such that the concatenation a(n) U a(n-1) U ... U a(1) is a Niven number, starting with a(1)=1.at n=44A239543
- Main diagonal of square arrays A114881 and A249741.at n=19A249743
- Pentagonal numbers (A000326) which are also centered heptagonal numbers (A069099).at n=2A254654
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,0 -1,0 0,-1 or 1,1.at n=57A264628
- Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change -2,0 -1,0 0,-1 or 1,1.at n=8A264630
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=15A272186
- Numbers that are the largest value in the Collatz (3x+1) trajectories of exactly six initial values.at n=46A274467
- Numbers k such that (299*10^k - 17)/3 is prime.at n=20A281063
- Pentagonal numbers divisible by 4.at n=22A298397
- Indices (starting at 0) of integers in the increasing sequence S of nonnegative numbers that are representable in base 3/2 with digits {0, H=1/2, 1}.at n=37A320035