142,764

2² × 3 × 11897

Starting at 142,764, the Collatz iteration reaches 1 after 74 steps. The first transition is 71382; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 333,144

Proper Divisor Sum 190,380

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #142759 ← → #142771

Radix Representation

Decimal	142764
Binary	100010110110101100 (18 bits)
Octal	0o426654
Hexadecimal	0x22DAC

Divisor Catalog (12)

1 2 3 4 6 12 11,897 23,794 35,691 47,588 71,382 142,764

Collatz Trajectory (74 steps to reach 1)

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

142,764 71,382 35,691 107,074 53,537 160,612 80,306 40,153 120,460 60,230 30,115 90,346 45,173 135,520 67,760 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908

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