4855
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5832
- Proper Divisor Sum (Aliquot Sum)
- 977
- 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
- 3880
- Möbius Function
- 1
- Radical
- 4855
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 121
- Smith Number
- yes
- 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
- Positions of remoteness 3 in Beans-Don't-Talk.at n=33A005695
- Coordination sequence T2 for Zeolite Code MTT.at n=43A008190
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=43A008264
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=26A020391
- Numbers whose sum of divisors is a cube.at n=28A020477
- a(n+1) = a(n) converted to base 10 from base 9 (written in base 10).at n=43A023392
- Sequence satisfies T^2(a)=a, where T is defined below.at n=51A027591
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=29A036927
- Denominators of continued fraction convergents to sqrt(857).at n=10A042655
- Take the first n numbers written in base 5, concatenate them, then convert from base 5 to base 10.at n=4A048437
- Expansion of (1-x)^2/(1-3*x+2*x^3-x^4).at n=9A052946
- The first n digits of the juxtaposition of the base-5 numbers converted to decimal.at n=5A055146
- Variation of Stechkin's function, A055004.at n=11A062827
- a(n) = A077702(n+1)/A077702(n).at n=11A077703
- a(n) = A088418(n+1)/A088418(n).at n=11A088419
- Self-convolution 4th power equals A106220, which consists entirely of digits {0,1,2,3} after the initial terms {1,4}.at n=11A106221
- Matrix logarithm of triangle A107719, read by rows.at n=15A107724
- Column 0 of A107724, which is the matrix logarithm of triangle A107719.at n=5A107725
- Maximal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}.at n=23A110610
- a(n) = n!- A088921(n).at n=7A119383