4349
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4350
- 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
- 4348
- Möbius Function
- -1
- Radical
- 4349
- 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
- 139
- 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
- 594
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=17A001275
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=3A020408
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=19A023285
- Coordination sequence T3 for Zeolite Code IFR.at n=46A024984
- Number of partitions of n that do not contain 7 as a part.at n=30A027341
- Number of perfect matchings in graph P_{2} X C_{3} X P_{n}.at n=4A028455
- Primes of the form k^2 - 7.at n=9A028883
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=35A031796
- Primes that are concatenations of k with k + 6.at n=7A032629
- Primes of form x^2+95*y^2.at n=31A033206
- Primes of form x^2+77*y^2.at n=30A033249
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=41A035557
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 4 (mod 5).at n=40A035570
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=48A035575
- Position reached by frog in A038029. A038026(A038029(n)).at n=31A038031
- Coordination sequence T4 for Zeolite Code STT.at n=44A038417
- Numerators of continued fraction convergents to sqrt(571).at n=8A042094
- Numerators of continued fraction convergents to sqrt(938).at n=6A042814
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=19A045258
- a(n) = T(4,n), array T given by A047858.at n=9A047861