9249
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12336
- Proper Divisor Sum (Aliquot Sum)
- 3087
- 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
- 6164
- Möbius Function
- 1
- Radical
- 9249
- 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
- 184
- 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
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=38A015988
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=35A024845
- a(n) = diagonal sum of right justified array T given by A027113.at n=10A027132
- 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=20A031562
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=36A031818
- Numerators of continued fraction convergents to sqrt(185).at n=9A041342
- Numerators of continued fraction convergents to sqrt(740).at n=5A042424
- McKay-Thompson series of class 24A for Monster.at n=25A058571
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=33A065213
- Third row of Pascal-(1,3,1) array A081578.at n=34A081585
- Structured heptagonal diamond numbers (vertex structure 5).at n=17A100179
- a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.at n=36A101135
- Semiprimes of the form 2*n + 1, where n is a square.at n=29A111351
- a(n) = least k such that the remainder when 21^k is divided by k is n.at n=11A128361
- a(n) = 1250*n^2 - 700*n + 99.at n=3A154359
- a(n) = 289n + 1.at n=31A158255
- a(n) = 32*n^2 + 1.at n=17A158575
- Numerator of Hermite(n, 3/4).at n=6A158958
- Numbers x such that 0 < |x^9 - y^2| < x^(7/2) for some number y.at n=5A173349
- Integers n such that 4*prime(n)-+3 are nonconsecutive primes.at n=45A173487