Properties of the Number 78213

Seventy-Eight Thousand Two Hundred Thirteen

Basics

Value: 78212 → 78213 → 78214

Parity: odd

Prime: No

Previous Prime: 78203

Next Prime: 78229

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 ² × 31

Divisors: 1, 3, 29, 31, 87, 93, 841, 899, 2523, 2697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011000110000101

Octal: 230605

Duodecimal: 39319

Hexadecimal: 13185

Square: 6117273369

Square Root: 279.6658720687957

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

T(n,k)=Number of (n+2)Xk 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223652

Number of (n+2)X4 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223648

Number of 6Xn 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223656

Numbers k such that (13·10^k + 401)/9 is prime. A289811

Smallest multiple of n beginning and ending in n and with a digit sum that is divisible by n. A78213