Properties of the Number 10477

Ten Thousand Four Hundred Seventy-Seven

Basics

Value: 10476 → 10477 → 10478

Parity: odd

Prime: Yes

Previous Prime: 10463

Next Prime: 10487

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 10477

Divisors: 1, 10477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011101101

Octal: 24355

Duodecimal: 6091

Hexadecimal: 28ed

Square: 109767529

Square Root: 102.35721762533407

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+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495

T(n,k) is the number of (n+1) X (k+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233366

Primes p of Erdos-Selfridge class 3+ with largest prime factor of p+1 not of class 2+. A129471

a(n) = floor(8ⁿ/(1+2·sin(6*π/13)/(2·sin(π/13)))ⁿ). A240841

Primes p that remain prime through at least 2 iterations of the function f(p) = p² + 4. A116886

Primes congruent to 6 mod 37. A142115

Primes p = x² + y² such that x + y is a cube. A282381

Primes for which the level is equal to 9 in A117563. A118481

Primes congruent to 46 mod 57. A142693

Primes congruent to 45 mod 64. A142945