Properties of the Number 10745

Ten Thousand Seven Hundred Forty-Five

Basics

Value: 10744 → 10745 → 10746

Parity: odd

Prime: No

Previous Prime: 10739

Next Prime: 10753

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 307

Divisors: 1, 5, 7, 35, 307, 1535, 2149, 10745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111111001

Octal: 24771

Duodecimal: 6275

Hexadecimal: 29f9

Square: 115455025

Square Root: 103.65809182114053

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

Centered cube numbers: n³ + (n+1)³. A5898

20-gonal (or icosagonal) numbers: a(n) = n*(9·n-8). A51872

Self-convolution 4th power of A113670, where a(n) = A113670(n+1)/(n+1). A113664

Least integer m > 0 with π(m·n) = σ(m), where σ(m) is the sum of all positive divisors of m. A247603

Numbers n such that N = n³ is a twin rank (A002822: 6N +- 1 are twin primes). A326234

Row sums of the triangular array A246694. A246695

Euler pseudoprimes to base 8: composite integers such that abs(8^{(n - 1}/2)) == 1 mod n. A262055

Number of (w,x,y) with all terms in {0,...,n} and max(w,x,y) < 2·min(w,x,y). A213389

a(n) = A379597(n) - A381710(n). A381711

Triangle read by rows of numbers of permutations eliminating just card k out of n in game of Mousetrap. A28306