9763
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10528
- Proper Divisor Sum (Aliquot Sum)
- 765
- 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
- 9000
- Möbius Function
- 1
- Radical
- 9763
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of points in N^6 of norm <= n.at n=6A055405
- Number of points in N^n of norm <= 6.at n=6A055421
- Number of primitive (period n) step cyclic shifted sequence structures using a maximum of three different symbols.at n=13A056440
- Non-palindromic number and its reversal are both multiples of 13.at n=33A062912
- Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes.at n=11A064687
- a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3.at n=17A090294
- One seventh of the sum of the first n primes, when an integer.at n=24A112272
- Partial sums of A005109.at n=21A172167
- Coordination sequence for (2,6,6) tiling of hyperbolic plane.at n=20A265069
- Number of length n inversion sequences avoiding the patterns 110, 120, and 210.at n=8A279569
- Semiprime numbers whose digit string can be partitioned into three parts such that the product of the first two parts equals the third part.at n=18A280636
- a(n) = [x^(n^2)] (1 + theta_3(x))^n/(2^n*(1 - x)), where theta_3() is the Jacobi theta function.at n=6A302863
- Sum of the fourth largest parts in the partitions of n into 7 parts.at n=39A308930
- Numbers k such that the decimal expansion of the k-th harmonic number starts with the digits of k, in the same order.at n=4A337904
- Number of nonnegative solutions to (x_1)^2 + (x_2)^2 + ... + (x_6)^2 <= n.at n=36A341401
- Numbers that are the sum of eight fourth powers in six or more ways.at n=23A345581
- Numbers that are the sum of eight fourth powers in exactly six ways.at n=17A345838
- Denominator of the maximal sum of inverse squares of the singular values of symmetric Toeplitz anti-Hadamard matrices of order n.at n=17A351241
- a(n) is the largest number whose sixth power is an n-digit sixth power which has the maximum sum of digits (A373994(n)).at n=23A380193
- a(n) = k the least number for which k^6 is n digits long and the sum of digits of k^6 is the maximum possible for a 6th power of that length (A373994(n)).at n=23A380567