17573
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17574
- 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
- 17572
- Möbius Function
- -1
- Radical
- 17573
- 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
- yes
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2020
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=26A023284
- Decimal part of a(n)^(1/2) starts with a 'nine digits' anagram.at n=7A034277
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=39A050666
- Largest prime < n^3.at n=24A077037
- Primes of the form m^k-k, with m and k > 1.at n=44A099228
- Values of A134204(n) for n in A133242.at n=30A133243
- Primes p2 such that p1^2 + p2^3 is an average of twin primes and p1 < p2 are consecutive primes.at n=18A138716
- Primes congruent to 42 mod 47.at n=39A142393
- Primes congruent to 50 mod 59.at n=33A142777
- Primes congruent to 5 mod 61.at n=31A142803
- Primes p such that 3*p+2, 5*p+4 and 7*p+6 are also prime.at n=21A173876
- Primes p such that q = p^2 + p + 1 is an emirp.at n=28A178545
- Primes of the form (2*k^3 + 3*k^2 + k - 12)/6.at n=10A178608
- Primes of the form 8n^3-3.at n=6A200956
- Number of compositions of n with exactly one part equal to 1 or exactly one part equal to 2.at n=17A238159
- Primes having primitive roots 2, 3, 5, 7, and 11.at n=33A241046
- Lesser of consecutive primes whose average is a perfect power.at n=21A242380
- Lesser of consecutive primes whose average is a perfect cube.at n=3A242382
- Smallest known example of a 3 X 3 X 3 generalized arithmetic progression (GAP) of 27 primes, listed in increasing order.at n=17A290967
- a(n) is the largest prime p congruent to 1 mod n such that the multiplicative subgroup H of (Z/pZ)* of index n contains no nontrivial mod-p arithmetic progression of length 3.at n=44A298565