1,002,717

3² × 43 × 2591

Starting at 1,002,717, the Collatz iteration reaches 1 after 183 steps. The first transition is 3008152; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 2591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,482,624

Proper Divisor Sum 479,907

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1002713 ← → #1002719

Radix Representation

Decimal	1002717
Binary	11110100110011011101 (20 bits)
Octal	0o3646335
Hexadecimal	0xF4CDD

Divisor Catalog (12)

1 3 9 43 129 387 2,591 7,773 23,319 111,413 334,239 1,002,717

Collatz Trajectory (183 steps to reach 1)

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

1,002,717 3,008,152 1,504,076 752,038 376,019 1,128,058 564,029 1,692,088 846,044 423,022 211,511 634,534 317,267 951,802 475,901 1,427,704 713,852 356,926 178,463 535,390 267,695 803,086 401,543 1,204,630 602,315 1,806,946 903,473 2,710,420 1,355,210 677,605 2,032,816 1,016,408 508,204 254,102 127,051 381,154 190,577 571,732 285,866 142,933 428,800 214,400 107,200 53,600 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061

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