6,120,765

3⁴ × 5 × 7 × 17 × 127

Starting at 6,120,765, the Collatz iteration reaches 1 after 139 steps. The first transition is 18362296; the starting value is odd with 80 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 17 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 13,381,632

Proper Divisor Sum 7,260,867

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6120761 ← → #6120773

Radix Representation

Decimal	6120765
Binary	10111010110010100111101 (23 bits)
Octal	0o27262475
Hexadecimal	0x5D653D

Divisor Catalog (60 of 80)

1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 127 135 153 189 255 315 357 381 405 459 567 595 635 765 889 945 1,071 1,143 1,377 1,785 1,905 2,159 2,295 2,667 2,835 3,213 3,429 4,445 5,355 5,715 6,477 6,885 8,001 9,639 10,287 10,795 13,335 15,113 16,065 17,145 19,431 24,003 32,385

Collatz Trajectory (139 steps to reach 1)

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

6,120,765 18,362,296 9,181,148 4,590,574 2,295,287 6,885,862 3,442,931 10,328,794 5,164,397 15,493,192 7,746,596 3,873,298 1,936,649 5,809,948 2,904,974 1,452,487 4,357,462 2,178,731 6,536,194 3,268,097 9,804,292 4,902,146 2,451,073 7,353,220 3,676,610 1,838,305 5,514,916 2,757,458 1,378,729 4,136,188 2,068,094 1,034,047 3,102,142 1,551,071 4,653,214 2,326,607 6,979,822 3,489,911 10,469,734 5,234,867 15,704,602 7,852,301 23,556,904 11,778,452 5,889,226 2,944,613 8,833,840 4,416,920 2,208,460 1,104,230 552,115 1,656,346 828,173 2,484,520 1,242,260 621,130 310,565 931,696 465,848 232,924

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