3,680,424

2³ × 3³ × 11 × 1549

3,680,424 has digital root 9. The neighboring primes are 3680407 and 3680431; its proper-divisor sum differs from the starting integer by 3,799,152.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 11,160,000

Proper Divisor Sum 7,479,576

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3680407 ← → #3680431

Radix Representation

Decimal	3680424
Binary	1110000010100010101000 (22 bits)
Octal	0o16024250
Hexadecimal	0x3828A8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 1,549 2,376 3,098 4,647 6,196 9,294 12,392 13,941 17,039 18,588 27,882 34,078 37,176 41,823 51,117 55,764 68,156 83,646 102,234 111,528 136,312 153,351 167,292 204,468 306,702 334,584 408,936 460,053 613,404

Collatz Trajectory (40 steps to reach 1)

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

3,680,424 1,840,212 920,106 460,053 1,380,160 690,080 345,040 172,520 86,260 43,130 21,565 64,696 32,348 16,174 8,087 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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