9569
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 1375
- 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
- 8196
- Möbius Function
- 1
- Radical
- 9569
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=24A020421
- Conjectured number of irreducible multiple zeta values of depth 10 and weight 2n+28.at n=10A022498
- Numbers k such that Fib(k) == -13 (mod k).at n=34A023167
- a(n) is the smallest k > a(n-1) such that k^2 has no digit in common with a(n-1)^2.at n=43A030287
- "INVERT" transform of squares A000290.at n=7A033453
- a(n)=T(n,n), array T as in A049735.at n=39A049740
- a(n) = a(n-1) + n^2 if n prime else a(n-1) - n, starting with a(0) = 0.at n=49A051353
- Interprimes which are of the form s*prime, s=7.at n=12A075282
- a(n) is the smallest number for which the prime distance A051699 is equal to n.at n=18A077019
- Least positive k such that the distance from k to closest prime = n.at n=18A079582
- a(n) = M(2^n), where M(n) is Mertens's function, A002321.at n=31A084236
- Smallest k such that both k-n and k+n are primes and there are no primes between them.at n=18A087378
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 17.at n=8A090891
- Number of A095313-primes in range [2^n,2^(n+1)].at n=16A095333
- Sum of the areas of the Durfee squares of all partitions of n.at n=22A116503
- Numbers n such that n!!+2^n is prime.at n=21A124248
- Smallest number at distance exactly 3n from nearest prime.at n=6A132470
- Smallest number at distance 2n from nearest prime (variant 2).at n=9A132860
- Numbers k such that k and k^2 use only the digits 1, 5, 6, 7 and 9.at n=3A137061
- Eigentriangle of A055461 (square subsequences decrescendo).at n=44A143864