Properties of the Number 3744

Three Thousand Seven Hundred Forty-Four

Basics

Value: 3743 → 3744 → 3745

Parity: even

Prime: No

Previous Prime: 3739

Next Prime: 3761

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 111010100000

Octal: 7240

Duodecimal: 2200

Hexadecimal: ea0

Square: 14017536

Square Root: 61.18823416311342

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Numbers that are divisible by exactly 8 primes counting multiplicity. A46310

Generalized 24-gonal (or icositetragonal) numbers: m*(11·m - 10) with m = 0, +1, -1, +2, -2, +3, -3, ... A303814

Floor-factorial numbers: a(n) = ∏_k=1..n floor(n/k). A10786

Heinz numbers of integer partitions with the same product of parts as their conjugate. A325040

Number of partitions of 2·n with no part divisible by 3 and all odd parts occurring with even multiplicities. A98151

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286782

Number of distinct possible reverse-alternating products of integer partitions of n. A347462

Number of integer compositions of n that are weakly alternating and have at least two adjacent equal parts. A349800

Number of distinct partitions of n-th triangular number which can be obtained by merging parts in the partition 1+2+...+n. A66723