1,646,865

3³ × 5 × 11 × 1109

Starting at 1,646,865, the Collatz iteration reaches 1 after 220 steps. The first transition is 4940596; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,196,800

Proper Divisor Sum 1,549,935

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1646861 ← → #1646893

Radix Representation

Decimal	1646865
Binary	110010010000100010001 (21 bits)
Octal	0o6220421
Hexadecimal	0x192111

Divisor Catalog (32)

1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1,109 1,485 3,327 5,545 9,981 12,199 16,635 29,943 36,597 49,905 60,995 109,791 149,715 182,985 329,373 548,955 1,646,865

Collatz Trajectory (220 steps to reach 1)

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

1,646,865 4,940,596 2,470,298 1,235,149 3,705,448 1,852,724 926,362 463,181 1,389,544 694,772 347,386 173,693 521,080 260,540 130,270 65,135 195,406 97,703 293,110 146,555 439,666 219,833 659,500 329,750 164,875 494,626 247,313 741,940 370,970 185,485 556,456 278,228 139,114 69,557 208,672 104,336 52,168 26,084 13,042 6,521 19,564 9,782 4,891 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

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