1,892,583

3² × 7 × 11 × 2731

Starting at 1,892,583, the Collatz iteration reaches 1 after 101 steps. The first transition is 5677750; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 2731

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,409,536

Proper Divisor Sum 1,516,953

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1892563 ← → #1892591

Radix Representation

Decimal	1892583
Binary	111001110000011100111 (21 bits)
Octal	0o7160347
Hexadecimal	0x1CE0E7

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 2,731 8,193 19,117 24,579 30,041 57,351 90,123 172,053 210,287 270,369 630,861 1,892,583

Collatz Trajectory (101 steps to reach 1)

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

1,892,583 5,677,750 2,838,875 8,516,626 4,258,313 12,774,940 6,387,470 3,193,735 9,581,206 4,790,603 14,371,810 7,185,905 21,557,716 10,778,858 5,389,429 16,168,288 8,084,144 4,042,072 2,021,036 1,010,518 505,259 1,515,778 757,889 2,273,668 1,136,834 568,417 1,705,252 852,626 426,313 1,278,940 639,470 319,735 959,206 479,603 1,438,810 719,405 2,158,216 1,079,108 539,554 269,777 809,332 404,666 202,333 607,000 303,500 151,750 75,875 227,626 113,813 341,440 170,720 85,360 42,680 21,340 10,670 5,335 16,006 8,003 24,010 12,005

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