4179
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6400
- Proper Divisor Sum (Aliquot Sum)
- 2221
- 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
- 2376
- Möbius Function
- -1
- Radical
- 4179
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of partitions of n if there are two kinds of 1, two kinds of 2 and two kinds of 3.at n=17A000098
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=20A001860
- a(n) = Fibonacci(n+3) - 2.at n=16A001911
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=21A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=21A004946
- Number of strict (-1)st-order maximal independent sets in path graph.at n=16A007382
- Coordination sequence T1 for Zeolite Code LAU.at n=46A008124
- a(n) = n*(19*n - 1)/2.at n=21A022276
- 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 42.at n=25A031540
- Number of 6-ary rooted trees with n nodes and height exactly 4.at n=16A036642
- Positive numbers having the same set of digits in base 6 and base 8.at n=29A037435
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,2,0.at n=4A037781
- Coordination sequence T6 for Zeolite Code SFF.at n=43A038432
- Numerators of continued fraction convergents to sqrt(450).at n=6A041856
- Numbers whose base-8 representation has exactly 5 runs.at n=9A043627
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=21A045031
- Coefficients of a special case of Poisson-Charlier polynomials.at n=32A046716
- Positive numbers whose product of digits is 12 times their sum.at n=34A062045
- Number of unimodal partitions/compositions of n into distinct terms.at n=31A072706
- a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=31A074339