6,122,312

2³ × 7 × 17 × 59 × 109

Starting at 6,122,312, the Collatz iteration reaches 1 after 183 steps. The first transition is 3061156; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 59 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,256,000

Proper Divisor Sum 8,133,688

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6122309 ← → #6122323

Radix Representation

Decimal	6122312
Binary	10111010110101101001000 (23 bits)
Octal	0o27265510
Hexadecimal	0x5D6B48

Divisor Catalog (60 of 64)

1 2 4 7 8 14 17 28 34 56 59 68 109 118 119 136 218 236 238 413 436 472 476 763 826 872 952 1,003 1,526 1,652 1,853 2,006 3,052 3,304 3,706 4,012 6,104 6,431 7,021 7,412 8,024 12,862 12,971 14,042 14,824 25,724 25,942 28,084 45,017 51,448 51,884 56,168 90,034 103,768 109,327 180,068 218,654 360,136 437,308 765,289

Collatz Trajectory (183 steps to reach 1)

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

6,122,312 3,061,156 1,530,578 765,289 2,295,868 1,147,934 573,967 1,721,902 860,951 2,582,854 1,291,427 3,874,282 1,937,141 5,811,424 2,905,712 1,452,856 726,428 363,214 181,607 544,822 272,411 817,234 408,617 1,225,852 612,926 306,463 919,390 459,695 1,379,086 689,543 2,068,630 1,034,315 3,102,946 1,551,473 4,654,420 2,327,210 1,163,605 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478

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