Properties of the Number 747

Seven Hundred Forty-Seven

Basics

Value: 746 → 747 → 748

Parity: odd

Prime: No

Previous Prime: 743

Next Prime: 751

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 83

Divisors: 1, 3, 9, 83, 249, 747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101011

Octal: 1353

Duodecimal: 523

Hexadecimal: 2eb

Square: 558009

Square Root: 27.331300737432898

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Numbers obtained by reinterpreting base-2 representation of n in the factorial base: a(n) = ∑_k>=0 A030308(n,k)*A000142(k+1). A59590

Array A(n,k) = n·A(n,k-1) + A(n,k-2) read by upward antidiagonals, starting A(n,0) = 0, A(n,1) = 1. A172236

Number of distinct products ij with 1 <= i, j <= n (number of distinct terms in n X n multiplication table). A27424

Smallest number m > 1 such that m^p-1-1 is divisible by p², where p = n-th prime. A39678

Numbers whose sum of digits is 18. A235228

Expansion of g.f.: x/(1 - 9·x - x²). A99371

|First digit - second digit + third digit - fourth digit ...| = 10. A60978

Number of partitions of n into a prime number of parts. A38499

a(n) = |{m : multiplicative order of 10 mod m is equal to n}|. A59892