9,984,584

2³ × 29 × 43037

Starting at 9,984,584, the Collatz iteration reaches 1 after 176 steps. The first transition is 4992292; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 43037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,367,100

Proper Divisor Sum 9,382,516

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9984577 ← → #9984587

Radix Representation

Decimal	9984584
Binary	100110000101101001001000 (24 bits)
Octal	0o46055110
Hexadecimal	0x985A48

Divisor Catalog (16)

1 2 4 8 29 58 116 232 43,037 86,074 172,148 344,296 1,248,073 2,496,146 4,992,292 9,984,584

Collatz Trajectory (176 steps to reach 1)

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

9,984,584 4,992,292 2,496,146 1,248,073 3,744,220 1,872,110 936,055 2,808,166 1,404,083 4,212,250 2,106,125 6,318,376 3,159,188 1,579,594 789,797 2,369,392 1,184,696 592,348 296,174 148,087 444,262 222,131 666,394 333,197 999,592 499,796 249,898 124,949 374,848 187,424 93,712 46,856 23,428 11,714 5,857 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760

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