10780
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 17948
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 770
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 29
- 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 balanced ordered trees with n nodes.at n=18A007059
- Successive integers produced by Conway's PRIMEGAME.at n=36A007542
- Positive numbers k such that k and 8*k are anagrams in base 9 (written in base 9).at n=2A023085
- Duplicate of A007059.at n=18A038495
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=41A048134
- A049031/2.at n=27A049032
- Growth series for Heisenberg group.at n=19A063810
- Bisection of A007059.at n=9A066350
- Numbers k such that phi(4k-1) = sigma(k).at n=4A067235
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=40A067878
- Numbers n such that sopf(sigma(n)) = sigma(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=25A076532
- Number of compositions of the integer n in which the first part is >= the other parts.at n=17A079500
- a(n) = A000094(n+4) - A006918(n).at n=30A084835
- Sum of first n 7-almost primes.at n=16A086059
- Average of 4 primes where the integer Schwarzian derivative is zero.at n=12A094903
- Triangle read by rows: T(n,k) is the number of nonroot nodes of outdegree k (0<=k<=n-1) in all non-crossing trees with n edges.at n=51A100400
- Values of n for which the Stirling number of the second kind, S(n,4), is prime.at n=3A100958
- One-sixth the smallest semiperimeter common to exactly n Pythagorean triangles.at n=34A107486
- Numbers n such that n is divisible by (3*s(n)*s(n)+2), where s(n) = sum of digits of n.at n=39A134556
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0)}.at n=8A151477