4127
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4128
- 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
- 4126
- Möbius Function
- -1
- Radical
- 4127
- 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
- 170
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 567
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=31A000353
- Coordination sequence T1 for Zeolite Code DAC.at n=40A008067
- Initial members of prime triples (p, p+2, p+6).at n=35A022004
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=39A023256
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=38A029896
- 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 63.at n=13A031561
- Upper prime of a difference of 16 between consecutive primes.at n=13A031935
- Primes of form x^2+62*y^2.at n=32A033240
- Multiplicity of highest weight (or singular) vectors associated with character chi_104 of Monster module.at n=37A034492
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=49A035585
- Denominators of continued fraction convergents to sqrt(329).at n=9A041621
- Numbers having three 5's in base 9.at n=25A043475
- Numbers whose base-16 representation has exactly 4 runs.at n=14A043677
- Primes with first digit 4.at n=36A045710
- Numbers k such that 181*2^k-1 is prime.at n=31A050842
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=11A052163
- Number of unlabeled 2-connected minimally 2-edge-connected graphs with n nodes.at n=12A054317
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=11A054823
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=10A054827
- Smaller term of closest safe prime pairs.at n=8A059323