9322
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 5078
- 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
- 4524
- Möbius Function
- -1
- Radical
- 9322
- 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
- 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
- 122
- 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
- yes
- Odd
- no
Appears in sequences
- Even pentagonal numbers.at n=39A014633
- a(1)=1, a(n) = n*13^(n-1) + a(n-1).at n=3A014928
- Numbers k such that 229*2^k+1 is prime.at n=12A032491
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=39A033570
- Trajectory of 1 under map n->39n+1 if n odd, n->n/2 if n even.at n=12A033975
- Number of binary [ n,3 ] codes.at n=20A034357
- Numbers whose base-5 representation contains exactly three 2's and three 4's.at n=8A045292
- a(n) = 1 + 2*n + 3*n^2 + 4*n^3.at n=13A056578
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=33A059954
- a(1)=1, a(n) = Sum_{k=1..n-1} max(a(k), a(n-k)).at n=10A075496
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=38A092231
- Pentagonal numbers (A000326) whose digit reversal is a prime.at n=11A115707
- Pentagonal numbers with prime indices.at n=21A116995
- Pentagonal numbers that are the sum of a nonzero pentagonal number and a nonzero square in at least one way.at n=29A134938
- G.f. satisfies: A(x) = Sum_{n>=0} x^(n^2) * A(x)^(n^2+n).at n=9A157135
- G.f. A(x) satisfies: A( x - x*A(2*x)/2 ) = x.at n=5A195195
- Number of partitions of n whose different summands alternate in parity.at n=41A242110
- G.f.: Sum_{n>=0} x^n / (1-x^2)^(2*n+1) * [Sum_{k=0..n} C(n,k)^2 * x^(2*k)]^2.at n=10A246563
- G.f.: Sum_{n>=0} x^n / (1-x)^(4*n+1) * [Sum_{k=0..2*n} C(2*n,k)^2 * x^k]^2.at n=5A246570
- Sum of the squarefree parts of the partitions of n into 10 parts.at n=29A309486