Properties of the Number 3747

Three Thousand Seven Hundred Forty-Seven

Basics

Value: 3746 → 3747 → 3748

Parity: odd

Prime: No

Previous Prime: 3739

Next Prime: 3761

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1249

Divisors: 1, 3, 1249, 3747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010100011

Octal: 7243

Duodecimal: 2203

Hexadecimal: ea3

Square: 14040009

Square Root: 61.212743771211564

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

Number of integer partitions of n with distinct differences between successive parts. A325325

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows. A157209

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Number of cyclic arrangements of S={1,2,...,n} such that the difference between any two neighbors is 2^k for some k=0,1,2,... A242519

T(n,k) = Number of n X k 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. A297595

Smallest number k containing no zero digit such that k² contains exactly n zeros. A134846

Triangle T(n,k) by rows: T(n, k) = (3·n-3·k+1)*T(n-1, k-1) +(3·k-2)*T(n-1, k) + 3·T(n-2, k-1) with T(n, 1) = T(n, n) = 1. A144440

Concatenations of pairs of primes that differ by 10. A104719

Composite squarefree numbers n such that p+τ(n) divides n-σ(n), where p are the prime factors of n, τ(n) = A000005(n) and σ(n) = A000203(n). A229274

a(n) = 3·n² - 4·n + 3. A141631