8002
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12006
- Proper Divisor Sum (Aliquot Sum)
- 4004
- 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
- 4000
- Möbius Function
- 1
- Radical
- 8002
- 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
- 44
- 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
- Coordination sequence for CaF2(1), F position.at n=30A009924
- Coordination sequence for CaF2(2), F position.at n=40A009925
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=40A010001
- a(0) = 1, a(n) = 20*n^2 + 2 for n>0.at n=20A010010
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=33A024844
- 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 88.at n=17A031586
- a(n) = (n-1)*(n-2)*(n-3) + n.at n=21A034324
- a(n) = (9*n^2 + 3*n + 2)/2.at n=42A038764
- Denominators of continued fraction convergents to sqrt(761).at n=10A042467
- Numbers whose base-6 representation has exactly 6 runs.at n=3A043614
- Three-quadrant Ferrers graphs that partition n.at n=14A059776
- Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=33A060879
- a(n) = (p^2 - p + 2)/2 for p = prime(n); number of squares modulo p^2.at n=30A072205
- a(n) is the next available entirely straight or curved number, depending on whether n contains a straight digit or not.at n=36A079064
- a(n) = n^3 + 2.at n=20A084380
- Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c.at n=11A094377
- Greatest number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c.at n=11A094380
- Numbers k such that the k-th triangular number contains only digits {0,2,3}.at n=6A119050
- Numbers k such that Fibonacci(prime(k)) is prime.at n=31A119984
- G.f.: (1+x+x^2-sqrt(1+2x+3x^2-2x^3+x^4))/2.at n=20A129509