9250
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17784
- Proper Divisor Sum (Aliquot Sum)
- 8534
- 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
- 3600
- Möbius Function
- 0
- Radical
- 370
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Coordination sequence for body-centered tetragonal lattice.at n=34A008527
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=17A010021
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=43A020360
- Denominators of continued fraction convergents to sqrt(331).at n=9A041625
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=23A045216
- Numbers n > 13 such that x^n + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=35A057489
- Triangle of coefficients of polynomials (rising powers) useful for convolutions of A000032(n+1), n >= 0 (Lucas numbers).at n=11A061188
- Sum of the first moments of all partitions of n with weights starting at 0.at n=17A066185
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=33A092230
- Minimal values of m=a^2+b^2=c^2+d^2 for each x=a+b+c+d=6*p (p=any odd prime).at n=12A093194
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=15A097225
- Bisection of A001157: sigma_2(2n).at n=42A099979
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=37A101243
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=34A108100
- Numbers m such that the numerator of the Bernoulli number B(m) is divisible by a cube.at n=31A122270
- Similar to A072921 but starting with 4.at n=39A152233
- 10 times pentagonal numbers: a(n) = 5*n*(3*n-1).at n=25A153780
- a(n) = 841*n - 1.at n=10A158402
- a(n) = the smallest positive integer that, when written in binary, contains both binary n and binary n^2 as substrings.at n=33A165820
- Number of 8-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=6A187513