Properties of the Number 3746

Three Thousand Seven Hundred Forty-Six

Basics

Value: 3745 → 3746 → 3747

Parity: even

Prime: No

Previous Prime: 3739

Next Prime: 3761

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 1873

Divisors: 1, 2, 1873, 3746

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010100010

Octal: 7242

Duodecimal: 2202

Hexadecimal: ea2

Square: 14032516

Square Root: 61.204574992397426

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 partitions of n into distinct parts >= 2. A25147

Coordination sequence for "tsi" 3D uniform tiling. A299289

Fifth spoke of a hexagonal spiral. A56109

Number of partitions of n into distinct parts, the least being 1. A96765

Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = T(n-1,1), T(n,k) = T(n-1,k-1) + 3·T(n-1,k) + T(n-1,k+1) for k >= 1. A126970

Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352136

T(n,k) = Number of n X k 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 zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241356

Number of involutions of length 2n which are invariant under the reverse-complement map and have no decreasing subsequences of length 6. A145847

Sum of n and partition number of n. A133041

Sum of the second largest parts of the partitions of n into 9 squarefree parts. A326531