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9,704,562

2 × 3 × 7 × 229 × 1009
Abundant Even Composite

9,704,562 factors as 2 × 3 × 7 × 229 × 1009. Its 32 positive divisors give a proper-divisor sum of 12,596,238, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 229 × 1009
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,300,800
Proper Divisor Sum 12,596,238
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9704561 ← → #9704567

Radix Representation

Decimal 9704562
Binary 100101000001010001110010 (24 bits)
Octal 0o45012162
Hexadecimal 0x941472

Divisor Catalog (32)

1 2 3 6 7 14 21 42 229 458 687 1,009 1,374 1,603 2,018 3,027 3,206 4,809 6,054 7,063 9,618 14,126 21,189 42,378 231,061 462,122 693,183 1,386,366 1,617,427 3,234,854 4,852,281 9,704,562

Collatz Trajectory (300 steps to reach 1)

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

9,704,562 4,852,281 14,556,844 7,278,422 3,639,211 10,917,634 5,458,817 16,376,452 8,188,226 4,094,113 12,282,340 6,141,170 3,070,585 9,211,756 4,605,878 2,302,939 6,908,818 3,454,409 10,363,228 5,181,614 2,590,807 7,772,422 3,886,211 11,658,634 5,829,317 17,487,952 8,743,976 4,371,988 2,185,994 1,092,997 3,278,992 1,639,496 819,748 409,874 204,937 614,812 307,406 153,703 461,110 230,555 691,666 345,833 1,037,500 518,750 259,375 778,126 389,063 1,167,190 583,595 1,750,786 875,393 2,626,180 1,313,090 656,545 1,969,636 984,818 492,409 1,477,228 738,614 369,307

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