Properties of the Number 3742

Three Thousand Seven Hundred Forty-Two

Basics

Value: 3741 → 3742 → 3743

Parity: even

Prime: No

Previous Prime: 3739

Next Prime: 3761

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 1871

Divisors: 1, 2, 1871, 3742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111010011110

Octal: 7236

Duodecimal: 21BA

Hexadecimal: e9e

Square: 14002564

Square Root: 61.171888968708494

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) = 1 + n + 2·n². A84849

Sets with a congruence property. A2703

Number of partitions of n in which each part, with the possible exception of the largest, occurs at least three times. A116932

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows. A243366

Number of disconnected 6-regular simple graphs on n vertices with girth at least 4. A185264

Numbers k such that the coefficient of x^k in the expansion of ∏_j>=1 (1 - x^j)⁵ is zero. A302057

a(n) = (9·n² - 3·n + 2)/2. A80855

Number of integer partitions of n with the maximum adjusted frequency depth for partitions of n. A325254

Extended Motzkin numbers, ∑_k>=0 C(n,k)*C(k), where C(k) is the extended Catalan number A057977(k). A189912

Sum of the third largest parts of the partitions of n into 9 parts. A326471