3,629,984

2⁵ × 113437

3,629,984 is even and not a perfect square. Its factorization is 2^5 × 113437 and its 12 divisors sum to 7,146,594.

Prime Factor Structure

Factorization String 2^5 × 113437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,146,594

Proper Divisor Sum 3,516,610

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3629953 ← → #3629987

Radix Representation

Decimal	3629984
Binary	1101110110001110100000 (22 bits)
Octal	0o15661640
Hexadecimal	0x3763A0

Divisor Catalog (12)

1 2 4 8 16 32 113,437 226,874 453,748 907,496 1,814,992 3,629,984

Collatz Trajectory (66 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,629,984 1,814,992 907,496 453,748 226,874 113,437 340,312 170,156 85,078 42,539 127,618 63,809 191,428 95,714 47,857 143,572 71,786 35,893 107,680 53,840 26,920 13,460 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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