9,478,836

2² × 3³ × 87767

Starting at 9,478,836, the Collatz iteration reaches 1 after 163 steps. The first transition is 4739418; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 87767

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,575,040

Proper Divisor Sum 15,096,204

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9478817 ← → #9478837

Radix Representation

Decimal	9478836
Binary	100100001010001010110100 (24 bits)
Octal	0o44121264
Hexadecimal	0x90A2B4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 87,767 175,534 263,301 351,068 526,602 789,903 1,053,204 1,579,806 2,369,709 3,159,612 4,739,418 9,478,836

Collatz Trajectory (163 steps to reach 1)

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

9,478,836 4,739,418 2,369,709 7,109,128 3,554,564 1,777,282 888,641 2,665,924 1,332,962 666,481 1,999,444 999,722 499,861 1,499,584 749,792 374,896 187,448 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47

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