5855
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7032
- Proper Divisor Sum (Aliquot Sum)
- 1177
- 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
- 4680
- Möbius Function
- 1
- Radical
- 5855
- 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
- 173
- 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
- Oscillates under partition transform.at n=45A007210
- [ exp(3/20)*n! ].at n=6A030858
- Numbers whose set of base-11 digits is {3,4}.at n=28A032835
- Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -4.at n=18A033817
- Numerators of continued fraction convergents to sqrt(339).at n=6A041640
- Numbers having three 5's in base 10.at n=30A043511
- When expressed in base 2 and then interpreted in base 7, is a multiple of the original number.at n=30A062848
- Cyclotomic polynomials Phi_n at x=phi, floored down (where phi = tau = (sqrt(5)+1)/2).at n=27A063703
- Cyclotomic polynomials Phi_n at x=phi, rounded to nearest integer (where phi = tau = (sqrt(5)+1)/2).at n=27A063705
- Sum of the remainders when n^2 is divided by squares less than n.at n=35A067459
- a(1) = 1, a(n+1) = a(n) + gpf(Sum_{i=1..n} a(i)), where gpf=A006530 (greatest prime factor).at n=16A080182
- Near-repdigit semiprimes with 5 as repeated digit.at n=24A105986
- Semiprimes a such that there exist three semiprimes b, c and d with a^3=b^3+c^3+d^3.at n=40A113490
- Smaller of two consecutive semiprimes with the same digital root.at n=38A118699
- Isomers of polyenes attached to benzene (see Cyvin et al. for precise definition).at n=4A121100
- (n^3 - n + 15)/3.at n=25A155757
- Number of nondecreasing integer sequences of length 18 with sum zero and sum of absolute values 2n.at n=11A158152
- Toothpick sequence in the three-dimensional grid.at n=43A160160
- Number of disconnected 3-regular (cubic) graphs on 2n vertices.at n=10A165653
- Number of strictly increasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero.at n=27A188182