67,142,289

3 × 3011 × 7433

67,142,289 factors as 3 × 3011 × 7433. Its 8 positive divisors give a proper-divisor sum of 22,422,543, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 3 × 3011 × 7433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 89,564,832

Proper Divisor Sum 22,422,543

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #67142281 ← → #67142291

Radix Representation

Decimal	67142289
Binary	100000000001000001010010001 (27 bits)
Octal	0o400101221
Hexadecimal	0x4008291

Divisor Catalog (8)

1 3 3,011 7,433 9,033 22,299 22,380,763 67,142,289

Collatz Trajectory (202 steps to reach 1)

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

67,142,289 201,426,868 100,713,434 50,356,717 151,070,152 75,535,076 37,767,538 18,883,769 56,651,308 28,325,654 14,162,827 42,488,482 21,244,241 63,732,724 31,866,362 15,933,181 47,799,544 23,899,772 11,949,886 5,974,943 17,924,830 8,962,415 26,887,246 13,443,623 40,330,870 20,165,435 60,496,306 30,248,153 90,744,460 45,372,230 22,686,115 68,058,346 34,029,173 102,087,520 51,043,760 25,521,880 12,760,940 6,380,470 3,190,235 9,570,706 4,785,353 14,356,060 7,178,030 3,589,015 10,767,046 5,383,523 16,150,570 8,075,285 24,225,856 12,112,928 6,056,464 3,028,232 1,514,116 757,058 378,529 1,135,588 567,794 283,897 851,692 425,846

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