10938
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21888
- Proper Divisor Sum (Aliquot Sum)
- 10950
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3644
- Möbius Function
- -1
- Radical
- 10938
- Omega Function (Ω)
- 3
- 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
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 8 positive 7th powers.at n=35A003375
- Sum of next n composite numbers.at n=25A072475
- Average of 4 primes where the integer Schwarzian derivative is zero.at n=13A094903
- Admirable numbers in the middle of twin primes.at n=29A135502
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=28A171179
- a(n) = Fibonacci(n+6) - Fibonacci(6).at n=15A180671
- Dispersion of A016873, (5k+3), by antidiagonals.at n=30A191705
- Divisors of 196884.at n=16A199014
- (7*5^n+1)/2.at n=5A199309
- s(k)-s(j), where the pairs (k,j) are given by A205857 and A205858, and s(k) denotes the (k+1)-st Fibonacci number.at n=27A205859
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) = number of distinct parts of p.at n=46A241820
- Number of partitions of n with difference -10 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=36A242682
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 561", based on the 5-celled von Neumann neighborhood.at n=21A272937
- Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=32A278352
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood.at n=13A279811
- a(n) = (8 - 2*n + 11*n^2 - 6*n^3 + n^4)/4.at n=15A289121
- Partial sums of A299894.at n=28A299895
- Expansion of Sum_{k>=1} x^k/(1 - x^k - 2*x^(2*k)).at n=14A309729
- The 100 terms of the cycle that A321021 goes into.at n=53A321022
- Nearest integer to the product of all integer roots of n from the second to the n-th.at n=25A330153