729,030

2 × 3 × 5 × 19 × 1279

729,030 factors as 2 × 3 × 5 × 19 × 1279. Its 32 positive divisors give a proper-divisor sum of 1,114,170, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 1279

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,843,200

Proper Divisor Sum 1,114,170

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #729023 ← → #729037

Radix Representation

Decimal	729030
Binary	10110001111111000110 (20 bits)
Octal	0o2617706
Hexadecimal	0xB1FC6

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1,279 2,558 3,837 6,395 7,674 12,790 19,185 24,301 38,370 48,602 72,903 121,505 145,806 243,010 364,515 729,030

Collatz Trajectory (180 steps to reach 1)

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

729,030 364,515 1,093,546 546,773 1,640,320 820,160 410,080 205,040 102,520 51,260 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773

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