9,999,428

2² × 233 × 10729

9,999,428 factors as 2^2 × 233 × 10729. Its 12 positive divisors give a proper-divisor sum of 7,576,312, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 233 × 10729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,575,740

Proper Divisor Sum 7,576,312

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #9999419 ← → #9999433

Radix Representation

Decimal	9999428
Binary	100110001001010001000100 (24 bits)
Octal	0o46112104
Hexadecimal	0x989444

Divisor Catalog (12)

1 2 4 233 466 932 10,729 21,458 42,916 2,499,857 4,999,714 9,999,428

Collatz Trajectory (189 steps to reach 1)

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

9,999,428 4,999,714 2,499,857 7,499,572 3,749,786 1,874,893 5,624,680 2,812,340 1,406,170 703,085 2,109,256 1,054,628 527,314 263,657 790,972 395,486 197,743 593,230 296,615 889,846 444,923 1,334,770 667,385 2,002,156 1,001,078 500,539 1,501,618 750,809 2,252,428 1,126,214 563,107 1,689,322 844,661 2,533,984 1,266,992 633,496 316,748 158,374 79,187 237,562 118,781 356,344 178,172 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226

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