8,432,473

7 × 727 × 1657

Starting at 8,432,473, the Collatz iteration reaches 1 after 155 steps. The first transition is 25297420; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 727 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,656,192

Proper Divisor Sum 1,223,719

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8432471 ← → #8432477

Radix Representation

Decimal	8432473
Binary	100000001010101101011001 (24 bits)
Octal	0o40125531
Hexadecimal	0x80AB59

Divisor Catalog (8)

1 7 727 1,657 5,089 11,599 1,204,639 8,432,473

Collatz Trajectory (155 steps to reach 1)

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

8,432,473 25,297,420 12,648,710 6,324,355 18,973,066 9,486,533 28,459,600 14,229,800 7,114,900 3,557,450 1,778,725 5,336,176 2,668,088 1,334,044 667,022 333,511 1,000,534 500,267 1,500,802 750,401 2,251,204 1,125,602 562,801 1,688,404 844,202 422,101 1,266,304 633,152 316,576 158,288 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487

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