8,429,747

37 × 137 × 1663

Starting at 8,429,747, the Collatz iteration reaches 1 after 106 steps. The first transition is 25289242; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 137 × 1663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,726,016

Proper Divisor Sum 296,269

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8429741 ← → #8429761

Radix Representation

Decimal	8429747
Binary	100000001010000010110011 (24 bits)
Octal	0o40120263
Hexadecimal	0x80A0B3

Divisor Catalog (8)

1 37 137 1,663 5,069 61,531 227,831 8,429,747

Collatz Trajectory (106 steps to reach 1)

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

8,429,747 25,289,242 12,644,621 37,933,864 18,966,932 9,483,466 4,741,733 14,225,200 7,112,600 3,556,300 1,778,150 889,075 2,667,226 1,333,613 4,000,840 2,000,420 1,000,210 500,105 1,500,316 750,158 375,079 1,125,238 562,619 1,687,858 843,929 2,531,788 1,265,894 632,947 1,898,842 949,421 2,848,264 1,424,132 712,066 356,033 1,068,100 534,050 267,025 801,076 400,538 200,269 600,808 300,404 150,202 75,101 225,304 112,652 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912

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