9796
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17920
- Proper Divisor Sum (Aliquot Sum)
- 8124
- 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
- 4680
- Möbius Function
- 0
- Radical
- 4898
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=34A000099
- a(n) = prime(n)*prime(n-1) - 1.at n=25A023515
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=31A051875
- Integer part of log(n!)^(1 + log(1 + log(1 + n))).at n=21A062445
- Nearest integer to log(n!)^(1 + log(1 + log(1 + n))).at n=21A062446
- Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=10A071393
- Expansion of (1 + x - x^3 - 2*x^4)/(1 - x^2 - x^3 - x^4 - x^5).at n=24A109544
- Dropping first and last digit of n leaves its largest prime factor.at n=36A114565
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=29A115176
- Numbers k such that k^4 contains a pandigital substring.at n=23A115934
- Number of 8-almost primes 8ap such that 2^n < 8ap <= 2^(n+1).at n=19A120039
- Expansion of g.f.: A(x) = Product_{n>=0} 1/( 1 - x/(1-x)^n )^( 1/2^(n+1) ).at n=9A122993
- a(n) is the number of nonnegative integers k less than 10^n such that the decimal representation of k lacks at least one of the digits 1,2,3 and at least one of the digits 4,5,6,7,8,9.at n=3A125897
- Numbers k such that A014138(k+1) (the partial sum of the first k Catalan numbers, starting 1, 2, 5, ...) is a prime.at n=9A126807
- Numbers k such that k and k^2 use only the digits 1, 5, 6, 7 and 9.at n=5A137061
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=28A186394
- Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=9A207584
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210741; see the Formula section.at n=49A210742
- Second smallest multiple of n whose digits sum to n.at n=30A245065
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 1", based on the 5-celled von Neumann neighborhood.at n=49A269906