9,750,504

2³ × 3 × 406271

9,750,504 factors as 2^3 × 3 × 406271. Its 16 positive divisors give a proper-divisor sum of 14,625,816, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 406271

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,376,320

Proper Divisor Sum 14,625,816

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9750473 ← → #9750511

Radix Representation

Decimal	9750504
Binary	100101001100011111101000 (24 bits)
Octal	0o45143750
Hexadecimal	0x94C7E8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 406,271 812,542 1,218,813 1,625,084 2,437,626 3,250,168 4,875,252 9,750,504

Collatz Trajectory (251 steps to reach 1)

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

9,750,504 4,875,252 2,437,626 1,218,813 3,656,440 1,828,220 914,110 457,055 1,371,166 685,583 2,056,750 1,028,375 3,085,126 1,542,563 4,627,690 2,313,845 6,941,536 3,470,768 1,735,384 867,692 433,846 216,923 650,770 325,385 976,156 488,078 244,039 732,118 366,059 1,098,178 549,089 1,647,268 823,634 411,817 1,235,452 617,726 308,863 926,590 463,295 1,389,886 694,943 2,084,830 1,042,415 3,127,246 1,563,623 4,690,870 2,345,435 7,036,306 3,518,153 10,554,460 5,277,230 2,638,615 7,915,846 3,957,923 11,873,770 5,936,885 17,810,656 8,905,328 4,452,664 2,226,332

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