Properties of the Number 3675

Three Thousand Six Hundred Seventy-Five

Basics

Value: 3674 → 3675 → 3676

Parity: odd

Prime: No

Previous Prime: 3673

Next Prime: 3677

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 7 ²

Divisors: 1, 3, 5, 7, 15, 21, 25, 35, 49, 75

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011011

Octal: 7133

Duodecimal: 2163

Hexadecimal: e5b

Square: 13505625

Square Root: 60.6217782649107

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

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443

a(n) = 3·n². A33428

Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed). A23108

Factorial base exp-function: digits in factorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276076

Integers of the form m*(m + 7)/8. A274979

Number of partitions of n containing no part i of multiplicity i. A276429

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Numbers m such that there are precisely 18 groups of order m. A298909

a(n) = ∑_{k=0..floor(n/2)} A026626(n-k, k). A26636

Trajectory of 82 under the map n-> A006368(n). A223088