9172
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16058
- Proper Divisor Sum (Aliquot Sum)
- 6886
- 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
- 4584
- Möbius Function
- 0
- Radical
- 4586
- Omega Function (Ω)
- 3
- 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
- 109
- 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
- Number of unsensed planar maps with n edges.at n=7A006385
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T4 atom.at n=12A019107
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=35A031818
- Positive numbers having the same set of digits in base 7 and base 9.at n=42A037439
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=39A043088
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=23A061154
- Numbers k such that k*10^k + k - 1 is prime.at n=3A110285
- a(n) = sum of n successive primes after the n-th prime.at n=35A131740
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 0, 1), (0, 1, 1), (1, -1, 1), (1, 0, -1)}.at n=7A150579
- Number of lines through at least 2 points of a 10 X n grid of points.at n=20A160850
- Numbers x such that 0 < |x^4 - y^3| < x^(5/3) for some number y.at n=4A173351
- Inverse Euler transform of A195980.at n=11A205999
- a(n) = Sum_{i=0..n} digsum_4(i)^3, where digsum_4(i) = A053737(i).at n=67A231666
- Least positive integer k such that prime(k*n)^2 - 2 = prime(i*n)*prime(j*n) for some integers 0 < i < j.at n=44A260080
- Expansion of Product_{k>=1} 1/(1-x^(2*k-1))^(2*k-1).at n=22A262811
- Expansion of Product_{k>=1} 1/(1+x^(2*k-1))^(2*k-1).at n=22A284628
- Expansion of Product_{k=1..10} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=34A320242
- Numbers that are the sum of seven fourth powers in four or more ways.at n=41A345570
- Numbers that are the sum of seven fourth powers in exactly four ways.at n=32A345826
- Largest even k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists.at n=6A357573