386,040

2³ × 3 × 5 × 3217

386,040 factors as 2^3 × 3 × 5 × 3217. Its 32 positive divisors give a proper-divisor sum of 772,440, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 3217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,158,480

Proper Divisor Sum 772,440

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #386039 ← → #386041

Radix Representation

Decimal	386040
Binary	1011110001111111000 (19 bits)
Octal	0o1361770
Hexadecimal	0x5E3F8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3,217 6,434 9,651 12,868 16,085 19,302 25,736 32,170 38,604 48,255 64,340 77,208 96,510 128,680 193,020 386,040

Collatz Trajectory (192 steps to reach 1)

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

386,040 193,020 96,510 48,255 144,766 72,383 217,150 108,575 325,726 162,863 488,590 244,295 732,886 366,443 1,099,330 549,665 1,648,996 824,498 412,249 1,236,748 618,374 309,187 927,562 463,781 1,391,344 695,672 347,836 173,918 86,959 260,878 130,439 391,318 195,659 586,978 293,489 880,468 440,234 220,117 660,352 330,176 165,088 82,544 41,272 20,636 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449

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