9561
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12752
- Proper Divisor Sum (Aliquot Sum)
- 3191
- 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
- 6372
- Möbius Function
- 1
- Radical
- 9561
- 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
- 78
- 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 ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=36A015636
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=23A020421
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 64.at n=33A031562
- Denominators of continued fraction convergents to sqrt(294).at n=6A041553
- a(n) = Min{x : A073124(x) = 2n}.at n=44A096480
- k's first occurrence in A102932.at n=41A101255
- Least K such that 10^(10*n-1) + K + 6*s are consecutive primes for s=0, s=1, s=2, s=3.at n=0A133449
- Number of subsets of {1, 2, ..., n} containing n and having <=5 pairwise coprime elements.at n=36A186989
- The number of subsets of the numbers {1,2,3...,n} consisting of at most 3 elements and at most two of those are even.at n=40A204555
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=24A262508
- Difference between the smallest 10^n-digit member of a sexy prime quadruple and 10^(10^n - 1), or 0 if no such 10^n-digit number exists.at n=1A275687
- Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330.at n=25A277715
- The maximum number of coins that can be processed in n weighings where all coins are real except for one LHR-coin.at n=10A279682
- Sum of the fifth largest parts of the partitions of n into 9 squarefree parts.at n=52A326528
- Expansion of (1/x) * Series_Reversion( x * (1 - x^2 * (1 + x)^3) ).at n=10A389295