9,984,442

2 × 13 × 384017

For 9,984,442, the 8 positive divisors have a total of 16,128,756. Removing 9,984,442 leaves 6,144,314, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 384017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,128,756

Proper Divisor Sum 6,144,314

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9984437 ← → #9984451

Radix Representation

Decimal	9984442
Binary	100110000101100110111010 (24 bits)
Octal	0o46054672
Hexadecimal	0x9859BA

Divisor Catalog (8)

1 2 13 26 384,017 768,034 4,992,221 9,984,442

Collatz Trajectory (176 steps to reach 1)

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

9,984,442 4,992,221 14,976,664 7,488,332 3,744,166 1,872,083 5,616,250 2,808,125 8,424,376 4,212,188 2,106,094 1,053,047 3,159,142 1,579,571 4,738,714 2,369,357 7,108,072 3,554,036 1,777,018 888,509 2,665,528 1,332,764 666,382 333,191 999,574 499,787 1,499,362 749,681 2,249,044 1,124,522 562,261 1,686,784 843,392 421,696 210,848 105,424 52,712 26,356 13,178 6,589 19,768 9,884 4,942 2,471 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

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