9,835,774

2 × 13 × 199 × 1901

9,835,774 factors as 2 × 13 × 199 × 1901. Its 16 positive divisors give a proper-divisor sum of 6,141,026, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 13 × 199 × 1901

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,976,800

Proper Divisor Sum 6,141,026

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9835759 ← → #9835781

Radix Representation

Decimal	9835774
Binary	100101100001010011111110 (24 bits)
Octal	0o45412376
Hexadecimal	0x9614FE

Divisor Catalog (16)

1 2 13 26 199 398 1,901 2,587 3,802 5,174 24,713 49,426 378,299 756,598 4,917,887 9,835,774

Collatz Trajectory (207 steps to reach 1)

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

9,835,774 4,917,887 14,753,662 7,376,831 22,130,494 11,065,247 33,195,742 16,597,871 49,793,614 24,896,807 74,690,422 37,345,211 112,035,634 56,017,817 168,053,452 84,026,726 42,013,363 126,040,090 63,020,045 189,060,136 94,530,068 47,265,034 23,632,517 70,897,552 35,448,776 17,724,388 8,862,194 4,431,097 13,293,292 6,646,646 3,323,323 9,969,970 4,984,985 14,954,956 7,477,478 3,738,739 11,216,218 5,608,109 16,824,328 8,412,164 4,206,082 2,103,041 6,309,124 3,154,562 1,577,281 4,731,844 2,365,922 1,182,961 3,548,884 1,774,442 887,221 2,661,664 1,330,832 665,416 332,708 166,354 83,177 249,532 124,766 62,383

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