10993
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10994
- 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
- 10992
- Möbius Function
- -1
- Radical
- 10993
- 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
- 130
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1335
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=20A002647
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=35A031822
- Expansion of 1/(1 - 3*x - x^2 + x^3).at n=8A033505
- a(n) = 2*prime(n)^2 - prime(n+1)^2.at n=28A064051
- a(n) is the smallest k such that (k^3 + 1)/(n^3 + 1) is an integer > 1.at n=44A065964
- First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.at n=16A084160
- Beginning with 2, least prime not occurring earlier such that the concatenation of first n terms has the least prime factor prime(n).at n=33A100759
- Primes p such that q = 4p^2 + 1 and r = 4q^2 + 1 are also prime.at n=20A122424
- Number of 1-2-3-4-5 trees with n edges and with thinning limbs. A 1-2-3-4-5 tree is an ordered tree with vertices of outdegree at most 5. A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.at n=11A124500
- Primes of the form 12*x^2+12*x*y+73*y^2.at n=39A139990
- Primes of the form 28x^2+12xy+57y^2.at n=37A140621
- Primes of the form 210k + 73.at n=27A140857
- Primes congruent to 19 mod 31.at n=42A142023
- Primes congruent to 4 mod 37.at n=39A142113
- Primes congruent to 5 mod 41.at n=36A142202
- Primes congruent to 28 mod 43.at n=34A142277
- Primes congruent to 42 mod 47.at n=24A142393
- Primes congruent to 17 mod 49.at n=31A142428
- Primes congruent to 22 mod 53.at n=23A142552
- Primes congruent to 48 mod 55.at n=32A142635