17669
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17670
- 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
- 17668
- Möbius Function
- -1
- Radical
- 17669
- 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
- 97
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2030
- 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 97.at n=4A020436
- Sums of 5 distinct powers of 4.at n=30A038473
- Numerators of continued fraction convergents to sqrt(73).at n=7A041128
- Numerators of continued fraction convergents to sqrt(292).at n=5A041548
- Primes which can be expressed as sum of distinct powers of 4.at n=23A077718
- Primes p such that little googol - p is prime.at n=37A108256
- Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=31A128825
- Left truncatable primes in base 9 (written in decimal form).at n=48A129945
- Penta-Primes. Prime Numbers n as a Sum of 5 consecutive prime numbers (four twin primes and single prime number in between) are primes.at n=8A138397
- Smallest number k such that M(n)^2+k*M(n)-1 is prime with M(n)= Mersenne primes =A000668(n).at n=21A139426
- Smallest prime p such that M(n)^2+p*M(n)-1 is prime with M(n)= Mersenne primes =A000668(n).at n=21A139430
- Primes congruent to 44 mod 47.at n=40A142395
- Primes congruent to 20 mod 53.at n=36A142550
- Primes congruent to 28 mod 59.at n=33A142755
- Primes congruent to 40 mod 61.at n=34A142838
- Duplicate of A139426.at n=21A143384
- Duplicate of A139430.at n=21A143386
- Expansion of (x^2+1)/(x^4+2*x^3-2*x+1).at n=18A188802
- Primes of the form 2n^2 - 3.at n=23A201712
- Primes of the form 8n^2 - 3.at n=11A201856