10974
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
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 12066
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3480
- Möbius Function
- 1
- Radical
- 10974
- Omega Function (Ω)
- 4
- 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
- 55
- 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
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=26A032157
- Partition numbers rounded to nearest integer given by the Hardy-Ramanujan approximate formula.at n=32A050811
- a(n) = Fibonacci(n) XOR Fibonacci(n+1).at n=22A051124
- Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, up to rotational symmetry.at n=10A054771
- a(n) = Sum_{d|n} sigma(d)^2.at n=35A065018
- a(n) = 3*a(n-1) + C(n+3,3) for n > 0; a(0)=1.at n=7A097786
- Numbers k such that 2^(2*k+1) + 2^k + 1 is prime.at n=34A105180
- Least positive k such that k * [RSA-2048]^n + 1 is prime, where RSA-2048 is the 617 decimal digit RSA challenge number A391940(54).at n=9A108881
- The even composites c such that c=q*g*j*y and q+g=j*y where q,g,j,y are primes.at n=28A167690
- a(n) = 4*n^2 + 3*n + 2.at n=52A185669
- 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=32A215836
- Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n).at n=32A216349
- Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n).at n=21A216350
- Number of partitions p of n such that max(p) - min(p) = 10.at n=35A218573
- Number of connected cyclic conjugacy classes of subgroups of the symmetric group.at n=54A218970
- Number of ternary words of length n in which all digits 0..2 occur in every 5 consecutive digits.at n=10A248960
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=6A254899
- Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=6A254906
- Number of (7+2) X (n+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=6A254913
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 563", based on the 5-celled von Neumann neighborhood.at n=21A272941