9377
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9378
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9376
- Möbius Function
- -1
- Radical
- 9377
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 109
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1160
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sum of 12 nonzero 8th powers.at n=24A003390
- a(0) = 1, a(n) = 15*n^2 + 2 for n>0.at n=25A010005
- Numbers k such that the continued fraction for sqrt(k) has period 71.at n=5A020410
- Least k>1 such that first n terms of Kolakoski sequence A000002 repeat in reverse order beginning at k-th term.at n=45A022295
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=19A023273
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=27A023282
- Primes that remain prime through 4 iterations of function f(x) = 2x + 3.at n=9A023303
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=32A032767
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=42A048524
- Primes q of form q=10p+7, where p is also prime.at n=42A055783
- a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.at n=26A057671
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=31A059605
- Integer part of log(n!)^(1 + log(1 + log(n))).at n=21A062443
- Numbers such that every cyclic permutation is a prime.at n=32A068652
- Balanced primes of order two.at n=42A082077
- Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.at n=29A086259
- Irregular primes whose indices are irregular primes of order one.at n=26A090869
- Numbers k such that 216*k+108 is a term of A097703 and A007494 and A098240.at n=9A098241
- Primes of the form 64n+33.at n=33A105128
- Primes p such that p's set of distinct digits is {3,7,9}.at n=14A108385