9,477,384

2³ × 3 × 7² × 8059

9,477,384 is even and not a perfect square. Its factorization is 2^3 × 3 × 7^2 × 8059 and its 48 divisors sum to 27,565,200.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 8059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 27,565,200

Proper Divisor Sum 18,087,816

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9477383 ← → #9477401

Radix Representation

Decimal	9477384
Binary	100100001001110100001000 (24 bits)
Octal	0o44116410
Hexadecimal	0x909D08

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1,176 8,059 16,118 24,177 32,236 48,354 56,413 64,472 96,708 112,826 169,239 193,416 225,652 338,478 394,891 451,304 676,956 789,782 1,184,673 1,353,912 1,579,564 2,369,346 3,159,128 4,738,692 9,477,384

Collatz Trajectory (150 steps to reach 1)

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

9,477,384 4,738,692 2,369,346 1,184,673 3,554,020 1,777,010 888,505 2,665,516 1,332,758 666,379 1,999,138 999,569 2,998,708 1,499,354 749,677 2,249,032 1,124,516 562,258 281,129 843,388 421,694 210,847 632,542 316,271 948,814 474,407 1,423,222 711,611 2,134,834 1,067,417 3,202,252 1,601,126 800,563 2,401,690 1,200,845 3,602,536 1,801,268 900,634 450,317 1,350,952 675,476 337,738 168,869 506,608 253,304 126,652 63,326 31,663 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112

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