10848
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
- 24
- Divisor Sum
- 28728
- Proper Divisor Sum (Aliquot Sum)
- 17880
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3584
- Möbius Function
- 0
- Radical
- 678
- Omega Function (Ω)
- 7
- 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
- 55
- 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
- Numbers k such that phi(k) + 7 | sigma(k).at n=5A015798
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=38A031549
- Numbers whose set of base-15 digits is {2,3}.at n=29A032815
- Numbers whose set of base-15 digits is {3,4}.at n=14A032839
- Numbers whose set of base-15 digits is {1,3}.at n=29A032922
- Numerators of continued fraction convergents to sqrt(535).at n=6A042022
- a(n) in base 15 is a repdigit.at n=45A048339
- Numbers n such that 215*2^n-1 is prime.at n=20A050859
- Expansion of e.g.f. (1-2*x)^(-x).at n=6A053491
- T(n,n-3), array T as in A054110.at n=29A054112
- a(n) = T(n,n-6), array T as in A055807.at n=10A055811
- Numbers k such that k^16 == 1 (mod 17^3).at n=38A056088
- Form a conjugate partition of row with 1+1+1 in first row. all other rows are the union of their parents. a(n) = number of types of piles in the n-th row.at n=26A064480
- a(n) is the denominator of b(n) where b(n)=1/b(n-1)+1/b(n-2) with b(1)=1 and b(2)=2.at n=6A066932
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=30A077274
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=41A090782
- Cascadence of (1+2x)^2; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0.at n=30A120914
- Central terms of triangle A120914 (cascadence of (1+2x)^2).at n=5A120917
- Numbers that have 9 terms in their Zeckendorf representation.at n=36A179249
- Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=27A215836