698,940

2² × 3² × 5 × 11 × 353

698,940 factors as 2^2 × 3^2 × 5 × 11 × 353. Its 72 positive divisors give a proper-divisor sum of 1,620,468, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 11 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,319,408

Proper Divisor Sum 1,620,468

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #698939 ← → #698977

Radix Representation

Decimal	698940
Binary	10101010101000111100 (20 bits)
Octal	0o2525074
Hexadecimal	0xAAA3C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 353 396 495 660 706 990 1,059 1,412 1,765 1,980 2,118 3,177 3,530 3,883 4,236 5,295 6,354 7,060 7,766 10,590 11,649 12,708 15,532 15,885 19,415 21,180 23,298 31,770 34,947

Collatz Trajectory (136 steps to reach 1)

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

698,940 349,470 174,735 524,206 262,103 786,310 393,155 1,179,466 589,733 1,769,200 884,600 442,300 221,150 110,575 331,726 165,863 497,590 248,795 746,386 373,193 1,119,580 559,790 279,895 839,686 419,843 1,259,530 629,765 1,889,296 944,648 472,324 236,162 118,081 354,244 177,122 88,561 265,684 132,842 66,421 199,264 99,632 49,816 24,908 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608

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