5803
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6640
- Proper Divisor Sum (Aliquot Sum)
- 837
- 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
- 4968
- Möbius Function
- 1
- Radical
- 5803
- 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
- no
- 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
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number) and d(n) = (n-th non-Fibonacci number).at n=17A023484
- Terminating decimals of length n of form p/5^q using at most one of each nonzero digit.at n=6A027905
- Lucky numbers with smallest increasing gaps (upper terms).at n=16A031885
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.at n=7A037568
- Gaps of 2 in sequence A038593 (lower terms).at n=10A038643
- Numbers ending with '3' that are the difference of two positive cubes.at n=14A038858
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=25A045099
- Number of multigraphs with loops on 3 nodes with n edges.at n=18A050531
- Sum of a(n) terms of 1/k^(5/6) first exceeds n.at n=20A056181
- Triangle, read by rows, of the coefficients of [x^k] in G100228(x)^n such that the row sums are 4^n-1 for n>0, where G100228(x) is the g.f. of A100228.at n=34A100229
- Perfect Abs. Real part of complex z such that Abs[(Total[Divisors[z]]-z)]=Abs[z].at n=23A101367
- Number of partitions of 1 into fractions i/j with 1<=i<j<=n and i,j coprime.at n=16A115855
- Numbers k such that A003313(k) = A003313(3*k).at n=35A116459
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 0, 1), (0, 1, 0), (1, 1, -1)}.at n=7A150204
- Integers n such that 4*prime(n)-+3 are nonconsecutive primes.at n=31A173487
- Partial sums of ceiling(n^2/7).at n=49A175822
- Dispersion of A004767 (4k+3, k>=0), by antidiagonals.at n=49A191669
- a(n) = floor(n/2)^3 - floor(n/3)^3.at n=40A213031
- a(n) = floor(n/2)^3 - floor(n/3)^3.at n=41A213031
- Number of partitions of n such that if the length is k then k is not a part.at n=31A229816