8,131,742

2 × 23 × 176777

8,131,742 factors as 2 × 23 × 176777. Its 8 positive divisors give a proper-divisor sum of 4,596,274, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 23 × 176777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,728,016

Proper Divisor Sum 4,596,274

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8131741 ← → #8131757

Radix Representation

Decimal	8131742
Binary	11111000001010010011110 (23 bits)
Octal	0o37012236
Hexadecimal	0x7C149E

Divisor Catalog (8)

1 2 23 46 176,777 353,554 4,065,871 8,131,742

Collatz Trajectory (85 steps to reach 1)

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

8,131,742 4,065,871 12,197,614 6,098,807 18,296,422 9,148,211 27,444,634 13,722,317 41,166,952 20,583,476 10,291,738 5,145,869 15,437,608 7,718,804 3,859,402 1,929,701 5,789,104 2,894,552 1,447,276 723,638 361,819 1,085,458 542,729 1,628,188 814,094 407,047 1,221,142 610,571 1,831,714 915,857 2,747,572 1,373,786 686,893 2,060,680 1,030,340 515,170 257,585 772,756 386,378 193,189 579,568 289,784 144,892 72,446 36,223 108,670 54,335 163,006 81,503 244,510 122,255 366,766 183,383 550,150 275,075 825,226 412,613 1,237,840 618,920 309,460

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