9356
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 7024
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4676
- Möbius Function
- 0
- Radical
- 4678
- Omega Function (Ω)
- 3
- 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
- 60
- 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 84.at n=31A020423
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (Lucas numbers), t = A023533.at n=37A024476
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = A000032, t = A023533.at n=36A025096
- Numbers k such that k^128 + 1 is prime.at n=23A056994
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=27A099631
- Records in A018892.at n=47A126097
- Concatenation of first two digits and last two digits of n-th even perfect number.at n=23A138875
- 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, 1), (-1, 1, 0), (0, 1, 1), (1, 0, -1)}.at n=10A148290
- Number of elements in wreath product C_4 wr S_n that alternate up/not-up with respect to a weak product ordering.at n=4A153743
- a(n) = (a(n-1) + a(n-3))/gcd(a(n-1), a(n-3)) with a(0) =2, a(1) = 3, a(2) = 5.at n=55A214331
- Numbers n such that sigma(n) = sigma(n - phi(n)), where sigma(n) is the sum of divisors of n and phi(n) is the Euler totient function of n.at n=0A228519
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=9A262508
- a(n) = Sum_{k=0..n} ceiling(phi^k), where phi is the golden ratio (A001622).at n=17A279100
- Number of nX2 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.at n=7A282554
- T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.at n=37A282560
- T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.at n=43A282560
- Indices of records in A305382.at n=13A306035
- Index of first occurrence of n in A305382.at n=20A316226
- Number of set partitions of strict multiset partitions of integer partitions of n.at n=12A330452
- Triangle read by rows: T(n,k) = number of edges in a "frame" of size n X k (see Comments in A331457 for definition).at n=49A332600