9,742,278

2 × 3 × 7² × 13 × 2549

9,742,278 has the prime decomposition 2 × 3 × 7^2 × 13 × 2549. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 13 × 2549

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,418,800

Proper Divisor Sum 14,676,522

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9742267 ← → #9742331

Radix Representation

Decimal	9742278
Binary	100101001010011111000110 (24 bits)
Octal	0o45123706
Hexadecimal	0x94A7C6

Divisor Catalog (48)

1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1,274 1,911 2,549 3,822 5,098 7,647 15,294 17,843 33,137 35,686 53,529 66,274 99,411 107,058 124,901 198,822 231,959 249,802 374,703 463,918 695,877 749,406 1,391,754 1,623,713 3,247,426 4,871,139 9,742,278

Collatz Trajectory (207 steps to reach 1)

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

9,742,278 4,871,139 14,613,418 7,306,709 21,920,128 10,960,064 5,480,032 2,740,016 1,370,008 685,004 342,502 171,251 513,754 256,877 770,632 385,316 192,658 96,329 288,988 144,494 72,247 216,742 108,371 325,114 162,557 487,672 243,836 121,918 60,959 182,878 91,439 274,318 137,159 411,478 205,739 617,218 308,609 925,828 462,914 231,457 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793

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