9,064,832

2⁷ × 7 × 67 × 151

Starting at 9,064,832, the Collatz iteration reaches 1 after 88 steps. The first transition is 4532416; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 7 × 67 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,085,440

Proper Divisor Sum 12,020,608

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9064823 ← → #9064837

Radix Representation

Decimal	9064832
Binary	100010100101000110000000 (24 bits)
Octal	0o42450600
Hexadecimal	0x8A5180

Divisor Catalog (60 of 64)

1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 151 224 268 302 448 469 536 604 896 938 1,057 1,072 1,208 1,876 2,114 2,144 2,416 3,752 4,228 4,288 4,832 7,504 8,456 8,576 9,664 10,117 15,008 16,912 19,328 20,234 30,016 33,824 40,468 60,032 67,648 70,819 80,936 135,296 141,638 161,872 283,276 323,744 566,552 647,488 1,133,104

Collatz Trajectory (88 steps to reach 1)

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

9,064,832 4,532,416 2,266,208 1,133,104 566,552 283,276 141,638 70,819 212,458 106,229 318,688 159,344 79,672 39,836 19,918 9,959 29,878 14,939 44,818 22,409 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600

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