7804
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13664
- Proper Divisor Sum (Aliquot Sum)
- 5860
- 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
- 3900
- Möbius Function
- 0
- Radical
- 3902
- Omega Function (Ω)
- 3
- 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
- 176
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 ways of getting 5 of a kind, straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=4A014404
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=25A024600
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=24A025114
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=18A031822
- a(n) = A047080(2*n, n+1).at n=8A047087
- Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=5A053080
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, straight flush or 5 of a kind in 5-card poker when joker is wild.at n=5A053081
- Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, royal flush or 5 of a kind in 5-card poker when joker is wild.at n=5A053082
- Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 1 joker.at n=4A057799
- Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 2 pair, 3 of a kind, a pair in wild-card poker with 1 joker.at n=4A057801
- Number of ways of getting (at least) 5 of a kind, a straight flush, 4 of a kind, flush, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 1 joker.at n=3A057807
- a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2).at n=32A078414
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=16A096031
- Start with 1 and repeatedly reverse the digits and add 48 to get the next term.at n=18A118160
- Number of polyhexes with 24 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=12A123284
- Greatest number m such that the fractional part of Pi^A137994(n) <= 1/m.at n=9A153713
- Greatest number m such that the fractional part of Pi^A153710(n) <= 1/m.at n=11A153714
- a(n) = 289n + 1.at n=26A158255
- a(n) = A030068(4n+1).at n=38A169739
- Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 14 integral solutions.at n=6A179171