4309
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4480
- Proper Divisor Sum (Aliquot Sum)
- 171
- 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
- 4140
- Möbius Function
- 1
- Radical
- 4309
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Denominators of convergents to cube root of 2.at n=9A002351
- Number of partitions of n with at least 1 odd and 1 even part.at n=29A006477
- Coordination sequence T2 for Zeolite Code PAU.at n=48A008220
- Coordination sequence T6 for Zeolite Code PAU.at n=48A008224
- n is equal to the number of 1's in all numbers <= n written in base 6.at n=12A014890
- Expansion of x/(1 - 7*x - 12*x^2).at n=5A015572
- a(n) = n*(9*n - 1)/2.at n=31A022266
- Number of sums S of distinct positive integers satisfying S <= n.at n=34A026906
- Cube root of A030697.at n=19A030698
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=4A031824
- Numbers with exactly five distinct base-8 digits.at n=21A031985
- a(n) = 2*a(n-1) + a(floor(n/2)), with a(1) = 1, a(2) = 2.at n=11A033490
- Number of partitions of n into parts 4k and 4k+2 with at least one part of each type.at n=58A035622
- Trajectory of 3 under map n->45n+1 if n odd, n->n/2 if n even.at n=9A037120
- Coordination sequence T3 for Zeolite Code SFF.at n=43A038433
- Coordination sequence T5 for Zeolite Code SFF.at n=43A038436
- Position of the first occurrence of n in continued fraction for Champernowne constant (A030167).at n=44A038706
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=46A044341
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=17A045027
- Number of partitions of n with some part repeated.at n=29A047967