4858
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8352
- Proper Divisor Sum (Aliquot Sum)
- 3494
- 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
- 2076
- Möbius Function
- -1
- Radical
- 4858
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = round(1000*log_2(n)).at n=28A004266
- a(n) = ceiling(1000*log_2(n)).at n=28A004267
- Expansion of e.g.f. cosh(sinh(x)*exp(x)).at n=7A009153
- Coordination sequence T7 for Zeolite Code VNI.at n=42A009913
- Number of partitions of n in which the least part is even.at n=39A026805
- Every run of digits of n in base 13 has length 2.at n=32A033011
- Positive integers having more base-13 runs of even length than odd.at n=34A044839
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=25A059306
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an obtuse isosceles integer triangle with prime side lengths.at n=14A070135
- Number of positions that are exactly n moves from the starting position in the Rashkey Type 1 puzzle.at n=11A079843
- 2*3*5*6*...*a(n) -+ 1 are primes, with a(n+1) > a(n).at n=29A087900
- Numbers k such that (k!/k#) * 2^k + 1 is prime, where n# = primorial numbers (A034386).at n=20A108894
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=15A121642
- a(n) = 3*a(n-1)+n if a(n-1) is not divisible by 2, or a(n) = a(n-1)/2 otherwise.at n=61A135294
- a(n) = 2*(10*3^n - 1).at n=5A155155
- Index of the smallest prime greater than (6n+1)^2.at n=36A174321
- Riordan matrix ((1-x-x^2)/(1-2x-x^2),(x-x^2-x^3)/(1-2x-x^2)).at n=56A190215
- Numbers such that sum of digits and sum of the square of digits are both a square.at n=40A197125
- Convolution of level 2 of the divisor function.at n=38A218276
- Number of (n+4) X 10 0..1 matrices with each 5 X 5 subblock idempotent.at n=7A224688