8,370,403

31 × 71 × 3803

Starting at 8,370,403, the Collatz iteration reaches 1 after 168 steps. The first transition is 25111210; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 71 × 3803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,764,416

Proper Divisor Sum 394,013

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8370391 ← → #8370407

Radix Representation

Decimal	8370403
Binary	11111111011100011100011 (23 bits)
Octal	0o37734343
Hexadecimal	0x7FB8E3

Divisor Catalog (8)

1 31 71 2,201 3,803 117,893 270,013 8,370,403

Collatz Trajectory (168 steps to reach 1)

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

8,370,403 25,111,210 12,555,605 37,666,816 18,833,408 9,416,704 4,708,352 2,354,176 1,177,088 588,544 294,272 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250

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