29,001,060

2² × 3² × 5 × 11 × 97 × 151

29,001,060 factors as 2^2 × 3^2 × 5 × 11 × 97 × 151. Its 144 positive divisors give a proper-divisor sum of 68,597,532, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 97 × 151

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 97,598,592

Proper Divisor Sum 68,597,532

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #29001059 ← → #29001067

Radix Representation

Decimal	29001060
Binary	1101110101000010101100100 (25 bits)
Octal	0o156502544
Hexadecimal	0x1BA8564

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 97 99 110 132 151 165 180 194 198 220 291 302 330 388 396 453 485 495 582 604 660 755 873 906 970 990 1,067 1,164 1,359 1,455 1,510 1,661 1,746 1,812 1,940 1,980 2,134

Collatz Trajectory (206 steps to reach 1)

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

29,001,060 14,500,530 7,250,265 21,750,796 10,875,398 5,437,699 16,313,098 8,156,549 24,469,648 12,234,824 6,117,412 3,058,706 1,529,353 4,588,060 2,294,030 1,147,015 3,441,046 1,720,523 5,161,570 2,580,785 7,742,356 3,871,178 1,935,589 5,806,768 2,903,384 1,451,692 725,846 362,923 1,088,770 544,385 1,633,156 816,578 408,289 1,224,868 612,434 306,217 918,652 459,326 229,663 688,990 344,495 1,033,486 516,743 1,550,230 775,115 2,325,346 1,162,673 3,488,020 1,744,010 872,005 2,616,016 1,308,008 654,004 327,002 163,501 490,504 245,252 122,626 61,313 183,940

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,001,059 Browse Full Index Next Integer #29,001,061 →