3,126,850

2 × 5² × 23 × 2719

Starting at 3,126,850, the Collatz iteration reaches 1 after 208 steps. The first transition is 1563425; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 23 × 2719

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,071,040

Proper Divisor Sum 2,944,190

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3126847 ← → #3126857

Radix Representation

Decimal	3126850
Binary	1011111011011001000010 (22 bits)
Octal	0o13733102
Hexadecimal	0x2FB642

Divisor Catalog (24)

1 2 5 10 23 25 46 50 115 230 575 1,150 2,719 5,438 13,595 27,190 62,537 67,975 125,074 135,950 312,685 625,370 1,563,425 3,126,850

Collatz Trajectory (208 steps to reach 1)

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

3,126,850 1,563,425 4,690,276 2,345,138 1,172,569 3,517,708 1,758,854 879,427 2,638,282 1,319,141 3,957,424 1,978,712 989,356 494,678 247,339 742,018 371,009 1,113,028 556,514 278,257 834,772 417,386 208,693 626,080 313,040 156,520 78,260 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838

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