4759
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4760
- 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
- 4758
- Möbius Function
- -1
- Radical
- 4759
- 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
- 77
- 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
- 641
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=34A001136
- Numbers that are the sum of 6 positive 7th powers.at n=16A003373
- Number of paraffins.at n=26A005998
- Coordination sequence T1 for Zeolite Code NES.at n=44A008205
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=17A023298
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=22A023299
- Primes of the form k^2 - 2.at n=20A028871
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=34A030480
- 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 67.at n=25A031565
- Numbers whose set of base-13 digits is {1,2}.at n=28A032933
- Number of partitions with at most one part divisible by 5.at n=29A039905
- Denominators of continued fraction convergents to sqrt(19).at n=10A041029
- Denominators of continued fraction convergents to sqrt(76).at n=10A041135
- Denominators of continued fraction convergents to sqrt(136).at n=8A041249
- Denominators of continued fraction convergents to sqrt(518).at n=7A041991
- Numbers whose base-7 representation contains exactly three 6's.at n=36A043419
- Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention.at n=15A046931
- Primes of the form p*q+2 where p and q are consecutive primes.at n=5A048880
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=28A057470
- Primes p such that x^61 = 2 has no solution mod p.at n=10A059230