7998
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 33
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16896
- Proper Divisor Sum (Aliquot Sum)
- 8898
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2520
- Möbius Function
- 1
- Radical
- 7998
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 189
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=41A000338
- a(n+1) = a(n) converted to base 6 from base 2 (written in base 10).at n=3A023363
- Numbers k such that 19*2^k+1 is prime.at n=10A032359
- Sums of distinct powers of 6.at n=42A033043
- Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,0.at n=5A033116
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).at n=27A035301
- Positive numbers having the same set of digits in base 2 and base 6.at n=38A037411
- Sums of 3 distinct powers of 6.at n=14A038479
- Numbers whose base-6 representation has exactly 6 runs.at n=0A043614
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=33A054222
- Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).at n=44A062365
- Numbers n such that phi(n+1) = 3*phi(n).at n=27A067143
- Smallest even number with digit sum n.at n=32A069532
- Number of separate orbits/cycles to which the Catalan bijections A069767/A069768 partition each A000108(n) structures encoded in the range [A014137(n-1)..A014138(n-1)] of the sequence A014486/A063171.at n=13A073431
- Number of primes between n^2 and n^3.at n=44A079648
- Sum of all prime factors of floor(Pi*10^n), Pi=3.14....at n=8A089287
- Number of Abelian cubefree words over a 3-letter alphabet.at n=9A096168
- 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=33A099149
- Numbers k such that k divides the sum of digits of all numbers from 1 to k.at n=37A114136
- Starting numbers for which the RATS sequence has eventual period 14.at n=10A114615