7,731,286

2 × 491 × 7873

Starting at 7,731,286, the Collatz iteration reaches 1 after 217 steps. The first transition is 3865643; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 491 × 7873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,622,024

Proper Divisor Sum 3,890,738

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7731281 ← → #7731299

Radix Representation

Decimal	7731286
Binary	11101011111100001010110 (23 bits)
Octal	0o35374126
Hexadecimal	0x75F856

Divisor Catalog (8)

1 2 491 982 7,873 15,746 3,865,643 7,731,286

Collatz Trajectory (217 steps to reach 1)

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

7,731,286 3,865,643 11,596,930 5,798,465 17,395,396 8,697,698 4,348,849 13,046,548 6,523,274 3,261,637 9,784,912 4,892,456 2,446,228 1,223,114 611,557 1,834,672 917,336 458,668 229,334 114,667 344,002 172,001 516,004 258,002 129,001 387,004 193,502 96,751 290,254 145,127 435,382 217,691 653,074 326,537 979,612 489,806 244,903 734,710 367,355 1,102,066 551,033 1,653,100 826,550 413,275 1,239,826 619,913 1,859,740 929,870 464,935 1,394,806 697,403 2,092,210 1,046,105 3,138,316 1,569,158 784,579 2,353,738 1,176,869 3,530,608 1,765,304

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