6998
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10500
- Proper Divisor Sum (Aliquot Sum)
- 3502
- 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
- 3498
- Möbius Function
- 1
- Radical
- 6998
- 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
- 132
- 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
- yes
- Odd
- no
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=23A000604
- Percolation series for hexagonal lattice.at n=18A006803
- Fibonacci sequence beginning 4,9.at n=15A022130
- a(n) = [ (n-2)nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=11A025208
- 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 82.at n=21A031580
- Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=32A036005
- Denominators of continued fraction convergents to sqrt(89).at n=7A041159
- Denominators of continued fraction convergents to sqrt(801).at n=7A042545
- Numbers having four 2's in base 6.at n=24A043380
- Numbers k such that 2*7^k + 5 is prime.at n=16A059042
- Sum of digits = 8 times number of digits.at n=17A061425
- Smallest multiple of 2 with digit sum 2^n.at n=5A069036
- Smallest even number with digit sum n.at n=31A069532
- a(n) = number of terms in s(n), where s(n) is defined in A096055.at n=12A112306
- A005195(n) - A005195(n-2).at n=13A144978
- Partial sums of PartitionsQ of Fibonacci numbers.at n=10A152478
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=32A173085
- Numbers k such that 9k+4 are terms in A072841.at n=19A175518
- Where zeros occur in the 1-0 race in the binary expansion of Pi-3; that is, n such that A174832(n) = 0.at n=39A178980
- Triangle read by row. T(n,m) gives the number of isomorphism classes of arrangements of n pseudolines and m double pseudolines in the projective plane.at n=13A180501