Properties of the Number 7825

Seven Thousand Eight Hundred Twenty-Five

Basics

Value: 7824 → 7825 → 7826

Parity: odd

Prime: No

Previous Prime: 7823

Next Prime: 7829

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 313

Divisors: 1, 5, 25, 313, 1565, 7825

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010010001

Octal: 17221

Duodecimal: 4641

Hexadecimal: 1e91

Square: 61230625

Square Root: 88.45903006477066

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) = n*(n² + 1)/2. A6003

Rhombic dodecahedral numbers: a(n) = n⁴ - (n - 1)⁴. A5917

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

a(n) = (1/2)*(n³ + n*(n mod 2)). A317614

28-gonal numbers: a(n) = n*(13·n - 12). A161935

G.f.: 1/((1-x)*(1-x²)*(1-x³)²*(1-x⁴)*(1-x⁵)). A3402

Differences of two positive 4th powers. A147857

Sum of terms in each group in A074147. A74149

a(n) = (15·n² + 9·n + 2)/2. A220083

Honaker's triangle problem: form a triangle with base of length n, all entries different, all row sums equal; a(n) gives minimal row sum. A47837