307,288

2³ × 71 × 541

Starting at 307,288, the Collatz iteration reaches 1 after 171 steps. The first transition is 153644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 71 × 541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 585,360

Proper Divisor Sum 278,072

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #307283 ← → #307289

Radix Representation

Decimal	307288
Binary	1001011000001011000 (19 bits)
Octal	0o1130130
Hexadecimal	0x4B058

Divisor Catalog (16)

1 2 4 8 71 142 284 541 568 1,082 2,164 4,328 38,411 76,822 153,644 307,288

Collatz Trajectory (171 steps to reach 1)

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

307,288 153,644 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328

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