9,459,588

2² × 3 × 31 × 59 × 431

Starting at 9,459,588, the Collatz iteration reaches 1 after 88 steps. The first transition is 4729794; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 59 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,224,320

Proper Divisor Sum 13,764,732

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9459577 ← → #9459589

Radix Representation

Decimal	9459588
Binary	100100000101011110000100 (24 bits)
Octal	0o44053604
Hexadecimal	0x905784

Divisor Catalog (48)

1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 354 372 431 708 862 1,293 1,724 1,829 2,586 3,658 5,172 5,487 7,316 10,974 13,361 21,948 25,429 26,722 40,083 50,858 53,444 76,287 80,166 101,716 152,574 160,332 305,148 788,299 1,576,598 2,364,897 3,153,196 4,729,794 9,459,588

Collatz Trajectory (88 steps to reach 1)

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

9,459,588 4,729,794 2,364,897 7,094,692 3,547,346 1,773,673 5,321,020 2,660,510 1,330,255 3,990,766 1,995,383 5,986,150 2,993,075 8,979,226 4,489,613 13,468,840 6,734,420 3,367,210 1,683,605 5,050,816 2,525,408 1,262,704 631,352 315,676 157,838 78,919 236,758 118,379 355,138 177,569 532,708 266,354 133,177 399,532 199,766 99,883 299,650 149,825 449,476 224,738 112,369 337,108 168,554 84,277 252,832 126,416 63,208 31,604 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667

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