5999
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6864
- Proper Divisor Sum (Aliquot Sum)
- 865
- 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
- 5136
- Möbius Function
- 1
- Radical
- 5999
- 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
- 186
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=44A002134
- Numbers k such that Fib(k) == -13 (mod k).at n=22A023167
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 77.at n=3A031575
- Numbers having four 4's in base 5.at n=26A043368
- Numbers having three 9's in base 10.at n=5A043527
- Upper members of a "good pair" of the form (k, 2*k +- 1).at n=38A046862
- Smallest number whose sum of digits is n.at n=32A051885
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=23A054999
- Numbers n such that n | 8^n + 6^n + 4^n + 2^n + 1.at n=14A057840
- Sum of digits = 8 times number of digits.at n=14A061425
- Numbers k such that sigma(k) - phi(k) is a cube.at n=28A062385
- Engel expansion of Sum_{k>=0} 1/(3 + k)^k.at n=12A063186
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=15A067374
- Smallest composite number with digit sum n.at n=31A067524
- a(n) = Sum_{k=1..n} Sum_{d=1..k} (k mod d).at n=47A072481
- a(n) is the smallest composite number with the sum of digits = the n-th composite number.at n=19A073866
- a(n) = smallest k such that 5k has a digit sum = n.at n=33A077492
- a(n) = smallest multiple of 7 with a digit sum = n.at n=30A077493
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=21A090424
- Take a <= b such that f(a)+f(b)=concatenation of a and b, where f(k)=k(k+3)/2 (A000096). Sequence gives values of b.at n=28A099149