5998
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9000
- Proper Divisor Sum (Aliquot Sum)
- 3002
- 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
- 2998
- Möbius Function
- 1
- Radical
- 5998
- 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
- 49
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=13A020407
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=3A025026
- Inverse Euler transform of {1, primes}.at n=51A030011
- 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 76.at n=13A031574
- Least Smith number having digital sum A033662(n).at n=18A033663
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=27A036313
- Numerators of continued fraction convergents to sqrt(764).at n=9A042472
- Base-6 palindromes that start with 4.at n=36A043013
- a(n) = 2*a(n-1) + n^2, a(0) = 0.at n=10A047520
- Sum of even composites up to n is palindromic.at n=9A058851
- Smallest even number with digit sum n.at n=30A069532
- Binomial transform of pentanacci numbers A074048: a(n) = Sum_{k=0..n} binomial(n,k)*A074048(k).at n=8A075156
- Numbers n such that n^2+n+41 (Euler's "prime generating polynomial") is not squarefree.at n=37A097823
- Numbers k such that k divides the sum of digits of all numbers from 1 to k.at n=36A114136
- Numbers n such that sigma(n)=reversal(n)+5.at n=5A136542
- Smith numbers of order 2.at n=27A174460
- Number of iterations of the map n -> sum of the n-powers of the decimal digits of n.at n=50A182160
- Number of distinct sets of nonnegative integers with perimeter n, as defined in the comments.at n=40A182372
- Semiprimes s such that phi(s)/2 is prime.at n=50A194593
- Rectangular array: (row n) = b**c, where b(h) = 2^(h-1), c(h) = (n-1+h)^2, n>=1, h>=1, and ** = convolution.at n=45A213573