3,680,118

2 × 3² × 13 × 15727

3,680,118 has digital root 9. The neighboring primes are 3680113 and 3680123; its proper-divisor sum differs from the starting integer by 1,227,252.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 15727

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,587,488

Proper Divisor Sum 4,907,370

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3680113 ← → #3680123

Radix Representation

Decimal	3680118
Binary	1110000010011101110110 (22 bits)
Octal	0o16023566
Hexadecimal	0x382776

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 15,727 31,454 47,181 94,362 141,543 204,451 283,086 408,902 613,353 1,226,706 1,840,059 3,680,118

Collatz Trajectory (265 steps to reach 1)

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

3,680,118 1,840,059 5,520,178 2,760,089 8,280,268 4,140,134 2,070,067 6,210,202 3,105,101 9,315,304 4,657,652 2,328,826 1,164,413 3,493,240 1,746,620 873,310 436,655 1,309,966 654,983 1,964,950 982,475 2,947,426 1,473,713 4,421,140 2,210,570 1,105,285 3,315,856 1,657,928 828,964 414,482 207,241 621,724 310,862 155,431 466,294 233,147 699,442 349,721 1,049,164 524,582 262,291 786,874 393,437 1,180,312 590,156 295,078 147,539 442,618 221,309 663,928 331,964 165,982 82,991 248,974 124,487 373,462 186,731 560,194 280,097 840,292

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