9,758,436

2² × 3 × 813203

9,758,436 factors as 2^2 × 3 × 813203. Its 12 positive divisors give a proper-divisor sum of 13,011,276, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 813203

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,769,712

Proper Divisor Sum 13,011,276

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9758431 ← → #9758447

Radix Representation

Decimal	9758436
Binary	100101001110011011100100 (24 bits)
Octal	0o45163344
Hexadecimal	0x94E6E4

Divisor Catalog (12)

1 2 3 4 6 12 813,203 1,626,406 2,439,609 3,252,812 4,879,218 9,758,436

Collatz Trajectory (163 steps to reach 1)

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

9,758,436 4,879,218 2,439,609 7,318,828 3,659,414 1,829,707 5,489,122 2,744,561 8,233,684 4,116,842 2,058,421 6,175,264 3,087,632 1,543,816 771,908 385,954 192,977 578,932 289,466 144,733 434,200 217,100 108,550 54,275 162,826 81,413 244,240 122,120 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720

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