4255
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 1217
- 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
- 3168
- Möbius Function
- -1
- Radical
- 4255
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 201
- 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
- Centered tetrahedral numbers.at n=18A005894
- In the '3x+1' problem, these values for the starting value set new records for highest point of trajectory before reaching 1.at n=11A006884
- Coordination sequence T1 for Zeolite Code MTW.at n=43A008196
- Apply partial sum operator 4 times to binary rooted tree numbers.at n=10A014171
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=19A020443
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=33A025524
- '3x+1' record-setters (blowup factor).at n=7A025587
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=36A027635
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=41A027635
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=36A030533
- Numbers with exactly five distinct base-8 digits.at n=3A031985
- Initial number for record sum of numbers in trajectory of 3x+1 problem.at n=27A033495
- Numerators of continued fraction convergents to sqrt(598).at n=4A042146
- Starting positions of strings of 2 0's in the decimal expansion of Pi.at n=30A050201
- Starting positions of strings of 3 0's in the decimal expansion of Pi.at n=3A050202
- a(1) = 4, a(n+1) is the smallest composite number > a(n) such that all of the differences a(n+1)-a(n) are distinct primes.at n=46A073679
- C(2*n+4,4)-C(2*n,4).at n=9A085474
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 85.at n=2A093285
- Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 41 for n > 0.at n=15A102017
- Numbers m such that the permutation of the first m natural numbers R_m(n)=if(1<=n<m-pi(m), c(n), if(n=m, 1, prime(n-m-pi(m)+1))) is a cyclic permutation where c(k) is the k-th composite number(for each natural number k, c(k)=A002808(k)).at n=19A108517