9950
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 8650
- 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
- 3960
- Möbius Function
- 0
- Radical
- 1990
- Omega Function (Ω)
- 4
- 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
- 73
- 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
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=50A004946
- Numbers formed by interpreting the reduced residue set of every even number as a Zeckendorf Expansion.at n=9A054433
- Numbers k such that k | sigma_11(k).at n=27A055715
- Numbers k such that sigma(k) is a harmonic number.at n=41A074245
- a(n) = A088314(n) - A000009(n).at n=44A088571
- The first 10 digits of the cube root of n contain the digits 0-9.at n=2A119517
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 9.at n=41A136826
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 5 and 9.at n=36A136891
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 5 and 9.at n=35A136901
- Numbers k such that k and k^2 use only the digits 0, 2, 5, 6 and 9.at n=22A136914
- Numbers k such that k and k^2 use only the digits 0, 2, 5, 7 and 9.at n=28A136917
- Numbers k such that k and k^2 use only the digits 0, 2, 5, 8 and 9.at n=14A136919
- Numbers k such that k and k^2 use only the digits 0, 2, 5 and 9.at n=13A136920
- Number of parts > 1 in the last section of the set of partitions of n.at n=31A138135
- a(n) = n*(n^2 + 3*n + 5)/3.at n=30A145069
- a(n) = 4*n^2 + 79*n + 390.at n=39A157434
- a(n) = 16*n^2 - 2*n.at n=24A158058
- Number of parts in all partitions of 2n that do not contain 1 as a part.at n=16A182734
- Number of nondecreasing arrangements of n+2 numbers in 0..4 with each number being the sum mod 5 of two others.at n=17A183907
- In lunar arithmetic in base 3, this is the number of lunar divisors of the number 111...1 (with n 1's).at n=9A186523