2,040,684

2² × 3 × 170057

2,040,684 factors as 2^2 × 3 × 170057. Its 12 positive divisors give a proper-divisor sum of 2,720,940, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 170057

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,761,624

Proper Divisor Sum 2,720,940

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2040679 ← → #2040719

Radix Representation

Decimal	2040684
Binary	111110010001101101100 (21 bits)
Octal	0o7621554
Hexadecimal	0x1F236C

Divisor Catalog (12)

1 2 3 4 6 12 170,057 340,114 510,171 680,228 1,020,342 2,040,684

Collatz Trajectory (228 steps to reach 1)

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

2,040,684 1,020,342 510,171 1,530,514 765,257 2,295,772 1,147,886 573,943 1,721,830 860,915 2,582,746 1,291,373 3,874,120 1,937,060 968,530 484,265 1,452,796 726,398 363,199 1,089,598 544,799 1,634,398 817,199 2,451,598 1,225,799 3,677,398 1,838,699 5,516,098 2,758,049 8,274,148 4,137,074 2,068,537 6,205,612 3,102,806 1,551,403 4,654,210 2,327,105 6,981,316 3,490,658 1,745,329 5,235,988 2,617,994 1,308,997 3,926,992 1,963,496 981,748 490,874 245,437 736,312 368,156 184,078 92,039 276,118 138,059 414,178 207,089 621,268 310,634 155,317 465,952

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