9177
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 6183
- 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
- 4752
- Möbius Function
- 1
- Radical
- 9177
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 109
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=44A000338
- a(n) = (6*n+1)*(6*n+3)*(6*n+5).at n=3A001520
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=38A004006
- Expansion of Product_{k>=1} (1 - x^k)^14.at n=12A010821
- Expansion of e.g.f. theta_3^(23/2).at n=3A015678
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=39A023866
- a(n) = (3/(8n-4))*C(4n,n).at n=5A024496
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=38A024863
- 15-gonal (or pentadecagonal) numbers: n*(13n-11)/2.at n=38A051867
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=31A057683
- a(n) = (2*n+1)*(2*n+3)*(2*n+5).at n=9A061550
- Nonsquares with A072594(n) = 0.at n=21A072596
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=21A075893
- Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).at n=46A079023
- Dimensions of the irreducible representations of the simple Lie algebra of type G2 over the complex numbers, listed in increasing order.at n=37A104599
- Least number k such that k, k+n, k+2*n and k+3*n have the same number of divisors.at n=14A113468
- Starting numbers for which the RATS sequence has eventual period 14.at n=22A114615
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+343)^2 = y^2.at n=15A118611
- Odd interprimes divisible by 19.at n=23A126231
- a(n) = (4*n+3)*(4*n+5)*(4*n+7).at n=4A133767