1,842,735

3 × 5 × 122849

Starting at 1,842,735, the Collatz iteration reaches 1 after 127 steps. The first transition is 5528206; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 122849

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,948,400

Proper Divisor Sum 1,105,665

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1842727 ← → #1842767

Radix Representation

Decimal	1842735
Binary	111000001111000101111 (21 bits)
Octal	0o7017057
Hexadecimal	0x1C1E2F

Divisor Catalog (8)

1 3 5 15 122,849 368,547 614,245 1,842,735

Collatz Trajectory (127 steps to reach 1)

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

1,842,735 5,528,206 2,764,103 8,292,310 4,146,155 12,438,466 6,219,233 18,657,700 9,328,850 4,664,425 13,993,276 6,996,638 3,498,319 10,494,958 5,247,479 15,742,438 7,871,219 23,613,658 11,806,829 35,420,488 17,710,244 8,855,122 4,427,561 13,282,684 6,641,342 3,320,671 9,962,014 4,981,007 14,943,022 7,471,511 22,414,534 11,207,267 33,621,802 16,810,901 50,432,704 25,216,352 12,608,176 6,304,088 3,152,044 1,576,022 788,011 2,364,034 1,182,017 3,546,052 1,773,026 886,513 2,659,540 1,329,770 664,885 1,994,656 997,328 498,664 249,332 124,666 62,333 187,000 93,500 46,750 23,375 70,126

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