3,626,648

2³ × 109 × 4159

3,626,648 is even and not a perfect square. Its factorization is 2^3 × 109 × 4159 and its 16 divisors sum to 6,864,000.

Prime Factor Structure

Factorization String 2^3 × 109 × 4159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,864,000

Proper Divisor Sum 3,237,352

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3626641 ← → #3626657

Radix Representation

Decimal	3626648
Binary	1101110101011010011000 (22 bits)
Octal	0o15653230
Hexadecimal	0x375698

Divisor Catalog (16)

1 2 4 8 109 218 436 872 4,159 8,318 16,636 33,272 453,331 906,662 1,813,324 3,626,648

Collatz Trajectory (234 steps to reach 1)

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

3,626,648 1,813,324 906,662 453,331 1,359,994 679,997 2,039,992 1,019,996 509,998 254,999 764,998 382,499 1,147,498 573,749 1,721,248 860,624 430,312 215,156 107,578 53,789 161,368 80,684 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009

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