Properties of the Number 7461

Seven Thousand Four Hundred Sixty-One

Basics

Value: 7460 → 7461 → 7462

Parity: odd

Prime: No

Previous Prime: 7459

Next Prime: 7477

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 829

Divisors: 1, 3, 9, 829, 2487, 7461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110100100101

Octal: 16445

Duodecimal: 4399

Hexadecimal: 1d25

Square: 55666521

Square Root: 86.37708029332781

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 nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239599

Number of partitions of n into parts 3k or 3k+1. A35360

Records in A087029. A186443

a(0) = 0, a(1) = 1; a(2·n) = 9·a(n), a(2·n+1) = a(n) + a(n+1). A342615

Diagonal of triangular spiral in A051682. A81268

Start with 1015 and repeatedly reverse the digits and add 4 to get the next term. A117807

Number of lunar divisors of the decimal (lunar) number 111...1 (with n 1's). A186510

Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block. A246145

Riordan array (1/(1+x), x*(1-2·x)/(1+x)²). A110522

Number of partitions of n into 9 sorts of parts. A246941