1,312,826

2 × 431 × 1523

Starting at 1,312,826, the Collatz iteration reaches 1 after 261 steps. The first transition is 656413; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 431 × 1523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,975,104

Proper Divisor Sum 662,278

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1312823 ← → #1312841

Radix Representation

Decimal	1312826
Binary	101000000100000111010 (21 bits)
Octal	0o5004072
Hexadecimal	0x14083A

Divisor Catalog (8)

1 2 431 862 1,523 3,046 656,413 1,312,826

Collatz Trajectory (261 steps to reach 1)

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

1,312,826 656,413 1,969,240 984,620 492,310 246,155 738,466 369,233 1,107,700 553,850 276,925 830,776 415,388 207,694 103,847 311,542 155,771 467,314 233,657 700,972 350,486 175,243 525,730 262,865 788,596 394,298 197,149 591,448 295,724 147,862 73,931 221,794 110,897 332,692 166,346 83,173 249,520 124,760 62,380 31,190 15,595 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622 33,311 99,934 49,967

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