Properties of the Number 78399

Seventy-Eight Thousand Three Hundred Ninety-Nine

Basics

Value: 78398 → 78399 → 78400

Parity: odd

Prime: No

Previous Prime: 78367

Next Prime: 78401

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 281

Divisors: 1, 3, 9, 31, 93, 279, 281, 843, 2529, 8711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000111111

Octal: 231077

Duodecimal: 39453

Hexadecimal: 1323f

Square: 6146403201

Square Root: 279.99821428002

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = s(2·n) where s(0) = 0, s(1) = s(2) = 1, s(n) = abs(∑_k=2..n-1 (-1)^k * s(n-k) * s(k)). A72851

a(n) = 64·n² - 1. A158684

Least common multiple of 7·n+1 and 7·n-1. A282286

Expansion of (1-q)^k/∏_j=1..k (1-q^j) for k=16. A275644

Numbers k such that the sum of decimal digits of k is the sum of primes dividing k+1 (with repetition). A339805

n sets a new record in A094830. A94878

a(n) = A078398(n+1)/A078398(n). A78399

Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - T_n(x)², where T_n(x) is the n-th Hermite polynomial of the Hochstadt kind (A137286) as related to the generalized Chebyshev in a Shabat way (A123583): p(x,n)=x·p(x,n-1)-p(x,n-2); q(x,n)=1-p(x,n)². A136667