7673
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7674
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7672
- Möbius Function
- -1
- Radical
- 7673
- 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
- 57
- 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
- 973
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form 3*k^2 - 3*k + 23.at n=40A007637
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=36A020360
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=19A024473
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (odd natural numbers).at n=18A025093
- Smallest k for which k, 2*k, ..., n*k all contain the digit 3.at n=6A039934
- Smallest k for which k, 2*k, ..., n*k all contain the digit 3.at n=7A039934
- Smallest k for which k, 2*k, ..., n*k all contain the digit 3.at n=5A039934
- Primes p such that p^9 reversed is also prime.at n=27A059702
- a(n) = 10*n^2 - 6*n + 1.at n=27A087348
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=33A090609
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=25A094464
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=14A097436
- Primes from merging of 4 successive digits in decimal expansion of the Euler-Mascheroni constant A001620.at n=18A104938
- Sum of the right diagonal in ordered 3 X 3 prime squares.at n=41A105091
- Integers n such that 10^n+99 is prime.at n=27A110980
- Primes prime(i) such that their sum-of-index-digits A007953(i) and their sum-of-digits A007605(i) are consecutive primes.at n=37A117460
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=15A119595
- Primes that can be written as the sum of 13 consecutive primes.at n=31A127341
- Primes p such that 3p-2 and 3p+2 are primes (see A125272) and its decimal representation finishes with 3.at n=39A133313
- Primes of the form 8x^2+105y^2.at n=30A139988