Properties of the Number -7747

Seven Hundred Forty-Seven

Basics

Value: -7748 → -7747 → -7746

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 61 × 127

Divisors: 1, 61, 127, 7747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111001000011

Octal: -17103

Duodecimal: -4597

Hexadecimal: -1e43

Square: 60016009

Square Root: 88.01704380402695

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

G.f. A(x) satisfies: A(x) = 1 - x·A(x/(1 - x)) / (1 - x)⁵. A346060

Binomial transform of A164555. A167206

Numbers k such that 7·4^k + 1 is prime. A2255

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

Numbers whose square is the concatenation of two numbers k and k+8. A115440

Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime. A69832

Numbers in which 7 outnumbers all other digits together. A292737

Numbers that are the sum of seven fourth powers in four or more ways. A345570

Numbers that are the sum of seven fourth powers in exactly four ways. A345826

Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, after the main diagonal is divided by 2 and the triangle is flattened, equals this flattened form of the original triangle. A92689