Properties of the Number 3629

Three Thousand Six Hundred Twenty-Nine

Basics

Value: 3628 → 3629 → 3630

Parity: odd

Prime: No

Previous Prime: 3623

Next Prime: 3631

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 19 × 191

Divisors: 1, 19, 191, 3629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000101101

Octal: 7055

Duodecimal: 2125

Hexadecimal: e2d

Square: 13169641

Square Root: 60.241181927316134

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) = n*(5·n+1)/2. A5475

Values of n such that L(10) and N(10) 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. A227448

Composite numbers whose divisors (except 1) all contain the digit 9. A62680

A B₂ sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct. A11185

The minimal number which has multiplicative persistence 5 in base n. A64869

Numbers whose arithmetic derivative (A003415) is a primorial number (A002110) > 1. A327978

Number of integer partitions of n whose length times maximum is a multiple of n. A326849

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264244

a(n) = A031287(n) + A031288(n) + A031289(n) + A031290(n) + A031291(n) + A031292(n) + A031293(n) + A031294(n) + A031295(n) + A031296(n). A193428

Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(5,26). A22032