9,996,632

2³ × 31 × 173 × 233

9,996,632 is even and not a perfect square. Its factorization is 2^3 × 31 × 173 × 233 and its 32 divisors sum to 19,543,680.

Prime Factor Structure

Factorization String 2^3 × 31 × 173 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,543,680

Proper Divisor Sum 9,547,048

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9996631 ← → #9996647

Radix Representation

Decimal	9996632
Binary	100110001000100101011000 (24 bits)
Octal	0o46104530
Hexadecimal	0x988958

Divisor Catalog (32)

1 2 4 8 31 62 124 173 233 248 346 466 692 932 1,384 1,864 5,363 7,223 10,726 14,446 21,452 28,892 40,309 42,904 57,784 80,618 161,236 322,472 1,249,579 2,499,158 4,998,316 9,996,632

Collatz Trajectory (119 steps to reach 1)

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

9,996,632 4,998,316 2,499,158 1,249,579 3,748,738 1,874,369 5,623,108 2,811,554 1,405,777 4,217,332 2,108,666 1,054,333 3,163,000 1,581,500 790,750 395,375 1,186,126 593,063 1,779,190 889,595 2,668,786 1,334,393 4,003,180 2,001,590 1,000,795 3,002,386 1,501,193 4,503,580 2,251,790 1,125,895 3,377,686 1,688,843 5,066,530 2,533,265 7,599,796 3,799,898 1,899,949 5,699,848 2,849,924 1,424,962 712,481 2,137,444 1,068,722 534,361 1,603,084 801,542 400,771 1,202,314 601,157 1,803,472 901,736 450,868 225,434 112,717 338,152 169,076 84,538 42,269 126,808 63,404

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