17099
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
- 17100
- 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
- 17098
- Möbius Function
- -1
- Radical
- 17099
- 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
- 53
- 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
- 1971
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of fifth root of 13 rounded down.at n=19A018150
- Numerators of continued fraction convergents to sqrt(929).at n=6A042796
- a(n) = 8*n^2 + 88*n + 43.at n=41A086760
- Consider the family of multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n loops and edges.at n=5A099693
- Indices of primes in sequence defined by A(0) = 73, A(n) = 10*A(n-1) + 53 for n > 0.at n=10A101151
- Primes of the form 2*3*5*7*k+89, k >= 0.at n=35A141866
- Primes congruent to 33 mod 53.at n=38A142563
- Primes congruent to 48 mod 59.at n=39A142775
- Primes congruent to 19 mod 61.at n=31A142817
- a(n) = 900*n - 1.at n=18A158409
- a(n) = 76*n^2 - 1.at n=14A158765
- Consecutive pairs of prime point sums in A161191 (includes triples).at n=30A161192
- Primes of the form 3*k^2 + 9*k + 5.at n=29A171838
- a(n) = 5*b_5(n)+4, where b_5 lists the indices of zeros of the sequence A261305: u(n) = abs(u(n-1)-gcd(u(n-1),5*n-1)), u(1) = 1.at n=4A186257
- Primes that are the sum of 51 consecutive primes.at n=12A215992
- Primes p such that f(p) and f(f(p)) are primes, where f(x) = x^2+3*x+1.at n=40A250027
- Primes equal to a heptagonal number plus 1.at n=21A285791
- Prime p1 of consecutive primes p1, p2, where p2 - p1 = 8, and p1, p2 are in different centuries.at n=12A287049
- Primes of the form (p + prime(p))/2 with prime p.at n=42A306627
- Number of partitions of 2n into exactly n nonzero decimal palindromes.at n=42A319454