4177
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4178
- 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
- 4176
- Möbius Function
- -1
- Radical
- 4177
- 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
- 126
- 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
- 574
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Red rooted red-black trees with n internal nodes.at n=14A001138
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=11A002645
- Numbers that are the sum of 2 positive 4th powers.at n=29A003336
- Primes of the form 2^a + 3^b.at n=41A004051
- Erroneous version of A028491.at n=9A004060
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=38A004831
- Primes of form n^2 + n + 17.at n=45A007635
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=16A007765
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=47A008093
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T4 atom.at n=11A019107
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTN = ZSM-39 [Si136O272].qR starting with a T3 atom.at n=11A019183
- Numbers k such that the continued fraction for sqrt(k) has period 61.at n=2A020400
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=29A023280
- a(n) = floor( Sum_{1 <= i < j <= n} ((sqrt(j)-sqrt(i))^3) ).at n=29A025197
- Numbers k such that (3^k - 1)/2 is prime.at n=9A028491
- Numbers having period-6 5-digitized sequences.at n=25A031190
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 14.at n=4A031602
- Upper prime of a difference of 18 between consecutive primes.at n=11A031937
- Multiplicity of highest weight (or singular) vectors associated with character chi_158 of Monster module.at n=37A034546
- Number of partitions of n into parts 4k or 4k+1.at n=54A035362