5993
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6468
- Proper Divisor Sum (Aliquot Sum)
- 475
- 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
- 5520
- Möbius Function
- 1
- Radical
- 5993
- 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
- 80
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=24A020370
- a(n) = position of n^3 + 9 in A003072.at n=37A024971
- Numbers having three 8's in base 9.at n=9A043487
- Largest odd number that can be represented in no more than n ways as p + 2*i^2 where p is 1 or a prime and i >= 0.at n=0A046903
- Boris Stechkin's function.at n=24A055004
- Largest odd number that can be represented in exactly n ways as p+2*i^2 where p is 1 or a prime and i >= 0.at n=0A055108
- Odd numbers not of the form p + 2*k^2, k>0, p prime.at n=9A060003
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=2A063055
- S[A002808(n)] where S[] is Boris Stechkin's function (A055004) and A002808(n) are the composites.at n=15A063483
- Partial sums of A035282.at n=40A078472
- a(n) = 2*a(n-1) + 7*a(n-2).at n=6A083100
- a(n) = 2*a(n-1) + 7*a(n-2) for n>1, a(0)=1, a(1)=1.at n=7A084058
- Total number of parts in all partitions of n into relatively prime parts.at n=20A085410
- Numbers k such that bigomega(k!)/omega(k!) is an integer.at n=43A088533
- a(n) = -1/16-3*n^2/8+17*n/12+n^3/12+(-1)^n/16.at n=42A088795
- Alternating row sums of array A092077 ((8,2)-Stirling2).at n=2A091758
- Counterexamples to the conjecture that an even, prime-indexed triangular plus 1 equals a prime or that an odd, prime-indexed triangular minus 2 equals a prime.at n=7A097785
- Binomial transform of [1, 2, 3, 4, 0, 0, 0, ...].at n=21A139488
- a(n) = 162n - 1.at n=36A157954
- a(n) = 74*n^2 - 1.at n=8A158744