9,744,892

2² × 71 × 34313

9,744,892 factors as 2^2 × 71 × 34313. Its 12 positive divisors give a proper-divisor sum of 7,549,364, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 34313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,294,256

Proper Divisor Sum 7,549,364

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9744871 ← → #9744901

Radix Representation

Decimal	9744892
Binary	100101001011000111111100 (24 bits)
Octal	0o45130774
Hexadecimal	0x94B1FC

Divisor Catalog (12)

1 2 4 71 142 284 34,313 68,626 137,252 2,436,223 4,872,446 9,744,892

Collatz Trajectory (194 steps to reach 1)

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

9,744,892 4,872,446 2,436,223 7,308,670 3,654,335 10,963,006 5,481,503 16,444,510 8,222,255 24,666,766 12,333,383 37,000,150 18,500,075 55,500,226 27,750,113 83,250,340 41,625,170 20,812,585 62,437,756 31,218,878 15,609,439 46,828,318 23,414,159 70,242,478 35,121,239 105,363,718 52,681,859 158,045,578 79,022,789 237,068,368 118,534,184 59,267,092 29,633,546 14,816,773 44,450,320 22,225,160 11,112,580 5,556,290 2,778,145 8,334,436 4,167,218 2,083,609 6,250,828 3,125,414 1,562,707 4,688,122 2,344,061 7,032,184 3,516,092 1,758,046 879,023 2,637,070 1,318,535 3,955,606 1,977,803 5,933,410 2,966,705 8,900,116 4,450,058 2,225,029

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