17599
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17600
- 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
- 17598
- Möbius Function
- -1
- Radical
- 17599
- 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
- 141
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2024
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=30A001275
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=17A023293
- Denominators of continued fraction convergents to sqrt(439).at n=6A041837
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=20A047977
- Number of step shifted (decimated) sequence structures using a maximum of four different symbols.at n=10A056393
- Numbers k such that 94^k - 93^k is prime.at n=5A062660
- Primes with digit sum = 31.at n=21A106767
- a[1] = 1; a[2] = 1; a[3] = 1; a[4] = 1; a[5] = 1; a[6] = 1; for n >= 7, a[n] = 6*a[n - 1] - 5*a[n - 2] - 4*a[n - 3] - 3*a[ n - 4] + 2*a[n - 5] + a[n - 6]; then take absolute values.at n=11A108142
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=21A119596
- Primes congruent to 17 mod 59.at n=34A142744
- Primes congruent to 31 mod 61.at n=36A142829
- Starting at a(1)=2, a(n) is the smallest prime larger than a(n-1) such that the sum of odd digits of a(n) is not smaller than the sum of odd digits of a(n-1).at n=33A158085
- a(n) = 44*n^2 - 1.at n=19A158628
- Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.at n=18A160500
- Primes of the form n+(n+3)^3, n>=0.at n=6A162004
- Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers.at n=26A187142
- Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=31A206579
- Indices of records in A028832.at n=26A374232
- Prime numbersat n=2024