10799
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10798
- Möbius Function
- -1
- Radical
- 10799
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 161
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1315
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=31A020415
- Numbers whose least quadratic nonresidue (A020649) is 19.at n=3A025027
- a(n) = least number not of form [ (a^2+b^2)/n ].at n=26A036574
- Denominators of continued fraction convergents to sqrt(432).at n=10A041823
- Lower prime of the second gap of 2n between primes.at n=15A046789
- Row/column pre-periods of Sprague-Grundy values of Wythoff's Game.at n=41A046874
- Prime number spiral (clockwise, South spoke).at n=18A054566
- Safe primes which are also Sophie Germain primes.at n=29A059455
- Primes with 19 as smallest positive primitive root.at n=10A061331
- Primes which, although they have correct parity, are not in the prime number maze.at n=10A065123
- a(n) = 48*n^2 - 1.at n=15A065532
- Smallest number m so that n^2 + A000330(m) is also a square, i.e., n^2 + (1 + 4 + 9 + 16 + ... + m^2) = w^2 for some w.at n=15A065610
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=21A066179
- Numbers prime(k) such that A068863(k) = prime(k).at n=22A068868
- Primes of the form sum 6d/(2 + mu(d)) for some k and all d dividing k.at n=24A069548
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=29A075707
- Smallest prime(k) such that 2^n divides the product of composite numbers between prime(k) and prime(k+1) but 2^(n+1) does not.at n=32A077216
- a(n) is least k such that A077614(k)=n or 0 if there is none.at n=11A077615
- Smallest primes such that a(j) - a(k) are all different.at n=46A079848
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=30A082888