3,677,400

2³ × 3⁴ × 5² × 227

3,677,400 has digital root 9. The neighboring primes are 3677383 and 3677441; its proper-divisor sum differs from the starting integer by 5,473,620.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5^2 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,828,420

Proper Divisor Sum 9,151,020

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3677383 ← → #3677441

Radix Representation

Decimal	3677400
Binary	1110000001110011011000 (22 bits)
Octal	0o16016330
Hexadecimal	0x381CD8

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 227 270 300 324 360 405 450 454 540 600 648 675 681 810 900 908 1,080 1,135 1,350 1,362 1,620 1,800 1,816

Collatz Trajectory (203 steps to reach 1)

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

3,677,400 1,838,700 919,350 459,675 1,379,026 689,513 2,068,540 1,034,270 517,135 1,551,406 775,703 2,327,110 1,163,555 3,490,666 1,745,333 5,236,000 2,618,000 1,309,000 654,500 327,250 163,625 490,876 245,438 122,719 368,158 184,079 552,238 276,119 828,358 414,179 1,242,538 621,269 1,863,808 931,904 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967

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