10393
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10960
- Proper Divisor Sum (Aliquot Sum)
- 567
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9828
- Möbius Function
- 1
- Radical
- 10393
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=36A026044
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=32A031822
- Indices of primes in sequence defined by A(0) = 99, A(n) = 10*A(n-1) - 71 for n > 0.at n=3A056264
- a(n) = 104*n + 9977.at n=4A126978
- Largest number not the sum of n distinct nonzero squares.at n=25A129210
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1001-1111 pattern in any orientation.at n=10A147132
- a(n) = ((1+4*sqrt(2))*(1+2*sqrt(2))^n + (1-4*sqrt(2))*(1-2*sqrt(2))^n)/2.at n=6A164602
- Magic constants of 5 X 5 magic squares which consist of consecutive primes.at n=37A176571
- Ordered differences of double factorials.at n=46A204912
- Nonprimes such that it takes exactly 3 iterations of reverse-and-add digits to generate a prime.at n=7A245208
- Composites in base 10 that remain composite in exactly five bases b, 2 <= b <= 10, expansions interpreted as decimal numbers.at n=43A256353
- Numbers n such that n, p=prime(n) and q=prime(p) have the same sum of digits.at n=18A261142
- Odd numbers k such that 2^psi(k) == phi(k) (mod k).at n=2A292742
- Number of partitions of n with rank a multiple of 3.at n=38A328988
- Triangle read by rows: T(n,m) (n >= m >= 1) = number of vertices formed by drawing the lines connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares.at n=40A331453
- Odd numbers k such that sigma(k) + sigma(k+2) > 2*sigma(k+1); odd terms in A053228.at n=22A358395