10443
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14164
- Proper Divisor Sum (Aliquot Sum)
- 3721
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6844
- Möbius Function
- 0
- Radical
- 177
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 60
- 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
- no
- Odd
- yes
Appears in sequences
- Number of tertiary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.at n=15A000600
- Number of weighted voting procedures.at n=13A005256
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=30A031898
- Denominators of continued fraction convergents to sqrt(270).at n=6A041507
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049735.at n=21A049738
- Numbers k such that k^4 == 1 (mod 5^5).at n=13A056102
- Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order.at n=33A058950
- 3p^2 where p runs through the primes.at n=16A079705
- Numbers k such that numerator of Bernoulli(2k) is divisible by the square of 59, the second irregular prime.at n=14A093058
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=41A097870
- a(1) = a(2) = a(3) = 1; for n>3, a(n) = a(n-1) + a(n-2) + a(n-3) iff n-1 is prime, otherwise a(n) = a(n-1) + 1.at n=29A113057
- <h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=30A115376
- Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2.at n=33A127485
- Odd numbers k such that A166100((k-1)/2)/k is not an integer.at n=18A166102
- Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=9A186561
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210235; see the Formula section.at n=49A210236
- Numbers n such that n^2 + 1 is divisible by a 4th power.at n=34A218563
- Numbers n such that n^2 + 1 is divisible by a 5th power.at n=6A218564
- 3*h^2, where h is an odd integer not divisible by 3.at n=19A229852
- a(n) = Sum_{i=0..n} digsum_5(i)^4, where digsum_5(i) = A053824(i).at n=22A231671