38,806,342

2 × 17² × 67139

38,806,342 factors as 2 × 17^2 × 67139. Its 12 positive divisors give a proper-divisor sum of 23,029,598, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 67139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,835,940

Proper Divisor Sum 23,029,598

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #38806337 ← → #38806343

Radix Representation

Decimal	38806342
Binary	10010100000010001101000110 (26 bits)
Octal	0o224021506
Hexadecimal	0x2502346

Divisor Catalog (12)

1 2 17 34 289 578 67,139 134,278 1,141,363 2,282,726 19,403,171 38,806,342

Collatz Trajectory (271 steps to reach 1)

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

38,806,342 19,403,171 58,209,514 29,104,757 87,314,272 43,657,136 21,828,568 10,914,284 5,457,142 2,728,571 8,185,714 4,092,857 12,278,572 6,139,286 3,069,643 9,208,930 4,604,465 13,813,396 6,906,698 3,453,349 10,360,048 5,180,024 2,590,012 1,295,006 647,503 1,942,510 971,255 2,913,766 1,456,883 4,370,650 2,185,325 6,555,976 3,277,988 1,638,994 819,497 2,458,492 1,229,246 614,623 1,843,870 921,935 2,765,806 1,382,903 4,148,710 2,074,355 6,223,066 3,111,533 9,334,600 4,667,300 2,333,650 1,166,825 3,500,476 1,750,238 875,119 2,625,358 1,312,679 3,938,038 1,969,019 5,907,058 2,953,529 8,860,588

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