8762
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14196
- Proper Divisor Sum (Aliquot Sum)
- 5434
- 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
- 4032
- Möbius Function
- -1
- Radical
- 8762
- 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
- yes
- Odd
- no
Appears in sequences
- n written in fractional base 9/8.at n=29A024656
- Denominators of continued fraction convergents to sqrt(672).at n=7A042293
- Expansion of ( 1-x ) / ( 1-x-3*x^2+x^3 ).at n=13A052973
- Numbers k such that k^256 + 1 is prime.at n=26A056995
- Number of nonisomorphic loopless matroids of rank 3 on n labeled points.at n=7A058719
- Non-palindromic number and its reversal are both multiples of 13.at n=27A062912
- a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=3.at n=12A087956
- Sum of ordered 3 prime sided prime triangles.at n=38A105100
- Diagonal sums of correlation triangle for (1+x)^3/(1-x).at n=42A115294
- A 4 X 4 permutation-free magic square with magic sum 19998.at n=2A125522
- Integers n > 1 such that A130280(4n^2) < n, i.e., there is an m < n, m > 1 such that 4n^2(m^2 - 1) + 1 is a square.at n=14A130281
- Numbers k such that k and k^2 use only the digits 2, 4, 6, 7 and 8.at n=20A137101
- Number of (n+1) X 4 binary arrays with no 2 X 2 subblock determinant equal to any horizontal or vertical neighbor 2 X 2 subblock determinant.at n=4A185461
- Number of (n+1) X 6 binary arrays with no 2 X 2 subblock determinant equal to any horizontal or vertical neighbor 2 X 2 subblock determinant.at n=2A185463
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant.at n=23A185467
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant.at n=25A185467
- Number of (w,x,y) with all terms in {0,...,n} and even range.at n=25A212975
- First appearance of n in A016014, or 0 if n never occurs.at n=33A239800
- Number of partitions of n having no perfect cube parts (n>=0).at n=44A264393
- Harary index of the n X n queen graph.at n=12A296196