1,262,846

2 × 13 × 48571

Starting at 1,262,846, the Collatz iteration reaches 1 after 103 steps. The first transition is 631423; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 48571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,040,024

Proper Divisor Sum 777,178

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1262839 ← → #1262851

Radix Representation

Decimal	1262846
Binary	100110100010011111110 (21 bits)
Octal	0o4642376
Hexadecimal	0x1344FE

Divisor Catalog (8)

1 2 13 26 48,571 97,142 631,423 1,262,846

Collatz Trajectory (103 steps to reach 1)

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

1,262,846 631,423 1,894,270 947,135 2,841,406 1,420,703 4,262,110 2,131,055 6,393,166 3,196,583 9,589,750 4,794,875 14,384,626 7,192,313 21,576,940 10,788,470 5,394,235 16,182,706 8,091,353 24,274,060 12,137,030 6,068,515 18,205,546 9,102,773 27,308,320 13,654,160 6,827,080 3,413,540 1,706,770 853,385 2,560,156 1,280,078 640,039 1,920,118 960,059 2,880,178 1,440,089 4,320,268 2,160,134 1,080,067 3,240,202 1,620,101 4,860,304 2,430,152 1,215,076 607,538 303,769 911,308 455,654 227,827 683,482 341,741 1,025,224 512,612 256,306 128,153 384,460 192,230 96,115 288,346

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