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Atlas › Integer Profiles › Node 9,705,846

9,705,846

2 × 3 × 192 × 4481
Abundant Even Composite

9,705,846 factors as 2 × 3 × 19^2 × 4481. Its 24 positive divisors give a proper-divisor sum of 10,785,858, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19^2 × 4481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,491,704
Proper Divisor Sum 10,785,858
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9705799 ← → #9705847

Radix Representation

Decimal 9705846
Binary 100101000001100101110110 (24 bits)
Octal 0o45014566
Hexadecimal 0x941976

Divisor Catalog (24)

1 2 3 6 19 38 57 114 361 722 1,083 2,166 4,481 8,962 13,443 26,886 85,139 170,278 255,417 510,834 1,617,641 3,235,282 4,852,923 9,705,846

Collatz Trajectory (238 steps to reach 1)

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

9,705,846 4,852,923 14,558,770 7,279,385 21,838,156 10,919,078 5,459,539 16,378,618 8,189,309 24,567,928 12,283,964 6,141,982 3,070,991 9,212,974 4,606,487 13,819,462 6,909,731 20,729,194 10,364,597 31,093,792 15,546,896 7,773,448 3,886,724 1,943,362 971,681 2,915,044 1,457,522 728,761 2,186,284 1,093,142 546,571 1,639,714 819,857 2,459,572 1,229,786 614,893 1,844,680 922,340 461,170 230,585 691,756 345,878 172,939 518,818 259,409 778,228 389,114 194,557 583,672 291,836 145,918 72,959 218,878 109,439 328,318 164,159 492,478 246,239 738,718 369,359

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