9,349,728

2⁵ × 3 × 17² × 337

9,349,728 has the prime decomposition 2^5 × 3 × 17^2 × 337. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 17^2 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 26,149,032

Proper Divisor Sum 16,799,304

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9349727 ← → #9349751

Radix Representation

Decimal	9349728
Binary	100011101010101001100000 (24 bits)
Octal	0o43525140
Hexadecimal	0x8EAA60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 337 408 544 578 674 816 867 1,011 1,156 1,348 1,632 1,734 2,022 2,312 2,696 3,468 4,044 4,624 5,392 5,729 6,936 8,088 9,248 10,784 11,458 13,872 16,176 17,187 22,916 27,744 32,352 34,374 45,832 68,748 91,664 97,393 137,496 183,328 194,786

Collatz Trajectory (181 steps to reach 1)

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

9,349,728 4,674,864 2,337,432 1,168,716 584,358 292,179 876,538 438,269 1,314,808 657,404 328,702 164,351 493,054 246,527 739,582 369,791 1,109,374 554,687 1,664,062 832,031 2,496,094 1,248,047 3,744,142 1,872,071 5,616,214 2,808,107 8,424,322 4,212,161 12,636,484 6,318,242 3,159,121 9,477,364 4,738,682 2,369,341 7,108,024 3,554,012 1,777,006 888,503 2,665,510 1,332,755 3,998,266 1,999,133 5,997,400 2,998,700 1,499,350 749,675 2,249,026 1,124,513 3,373,540 1,686,770 843,385 2,530,156 1,265,078 632,539 1,897,618 948,809 2,846,428 1,423,214 711,607 2,134,822

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