8755
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11232
- Proper Divisor Sum (Aliquot Sum)
- 2477
- 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
- 6528
- Möbius Function
- -1
- Radical
- 8755
- 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
- 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
- 78
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=42A003378
- Number of ZnS polytypes that repeat after n layers.at n=19A011957
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=41A020443
- Numbers whose set of base-16 digits is {2,3}.at n=17A032816
- Every run of digits of n in base 16 has length 2.at n=32A033014
- Numerators of continued fraction convergents to sqrt(566).at n=7A042084
- Positive integers having more base-16 runs of even length than odd.at n=34A044842
- Coefficients of a polynomial used in calculation of A055914.at n=8A055917
- a(n) = round(10000*log(n/10)).at n=23A104077
- Records in A119451.at n=20A119452
- Numerators of partial sums of a series for 3/sqrt(5) = (3/5)*sqrt(5).at n=4A123749
- Start of the first run of exactly n integers in A014134.at n=8A140867
- Polynomial expansion sequence: p(x)=1/(1 - 4x + 5x^2 - 6x^4 + 6x^5 - x^6 - 2x^7 + x^8).at n=14A143075
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| != w+x+y.at n=20A213480
- Numbers which are the sums of consecutive fourth powers.at n=35A217844
- Let b(1) = 3 and let b(n+1) be the least prime expressible as k*(b(n)-1)*b(n)-1; this sequence gives the values of k in order.at n=15A306601
- Numbers that are the sum of ten fourth powers in nine or more ways.at n=28A345602
- Numbers that are the sum of ten fourth powers in exactly nine ways.at n=18A345861
- Sum of powers of roots of x^3 - x^2 - x - 3.at n=12A356411
- G.f.: Sum_{n>=0} x^(n*(n+1)/2) * P(x)^n, where P(x) is the partition function (A000041).at n=17A356507