9,972,704

2⁵ × 7 × 211²

9,972,704 is even and not a perfect square. Its factorization is 2^5 × 7 × 211^2 and its 36 divisors sum to 22,545,432.

Prime Factor Structure

Factorization String 2^5 × 7 × 211^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 22,545,432

Proper Divisor Sum 12,572,728

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9972691 ← → #9972713

Radix Representation

Decimal	9972704
Binary	100110000010101111100000 (24 bits)
Octal	0o46025740
Hexadecimal	0x982BE0

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1,477 1,688 2,954 3,376 5,908 6,752 11,816 23,632 44,521 47,264 89,042 178,084 311,647 356,168 623,294 712,336 1,246,588 1,424,672 2,493,176 4,986,352 9,972,704

Collatz Trajectory (176 steps to reach 1)

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

9,972,704 4,986,352 2,493,176 1,246,588 623,294 311,647 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717 4,733,152 2,366,576 1,183,288 591,644 295,822 147,911 443,734 221,867 665,602 332,801 998,404 499,202 249,601 748,804 374,402 187,201 561,604 280,802 140,401 421,204 210,602 105,301 315,904 157,952 78,976 39,488 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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