7691
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
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7692
- 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
- 7690
- Möbius Function
- -1
- Radical
- 7691
- 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
- 145
- 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
- 976
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Not integral, withdrawn.at n=8A002692
- Number of 10's in all partitions of n.at n=40A024794
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=48A025509
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=42A025520
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 87.at n=13A031585
- Denominators of continued fraction convergents to sqrt(831).at n=12A042605
- Primes with multiplicative persistence value 5.at n=18A046505
- Primes q of the form q = 10p + 1, where p is also prime.at n=31A055781
- Primes p such that p^6 + p^3 + 1 is prime.at n=42A066100
- Primes p(k) such that the product of digits of p(k) equals the product of digits of k.at n=11A066521
- Primes p such that floor(p^Pi) is prime.at n=42A079594
- Members of A083989 whose 10's complement is also a member of A083989.at n=16A083991
- Denominator(Bernoulli(n-1) + 1/n)=66, where n runs through the primes.at n=35A090799
- Spiro-tetranacci numbers: a(n) = sum of four previous terms that are nearest when terms arranged in a spiral.at n=22A092369
- Sum of the first n n-digit primes less n*10^(n-1).at n=18A114053
- Number of partitions p of n such that min(p) and max(p) have a common factor.at n=45A114326
- Primes of the form 24x^2+35y^2.at n=34A139994
- Primes of the form 11x^2+120y^2.at n=33A140004
- Primes of the form 26x^2+26xy+59y^2.at n=37A140024
- Primes of the form 24x^2+24xy+83y^2.at n=28A140038