718,998

2 × 3 × 7 × 17 × 19 × 53

718,998 factors as 2 × 3 × 7 × 17 × 19 × 53. Its 64 positive divisors give a proper-divisor sum of 1,147,242, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 19 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,866,240

Proper Divisor Sum 1,147,242

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #718973 ← → #718999

Radix Representation

Decimal	718998
Binary	10101111100010010110 (20 bits)
Octal	0o2574226
Hexadecimal	0xAF896

Divisor Catalog (60 of 64)

1 2 3 6 7 14 17 19 21 34 38 42 51 53 57 102 106 114 119 133 159 238 266 318 323 357 371 399 646 714 742 798 901 969 1,007 1,113 1,802 1,938 2,014 2,226 2,261 2,703 3,021 4,522 5,406 6,042 6,307 6,783 7,049 12,614 13,566 14,098 17,119 18,921 21,147 34,238 37,842 42,294 51,357 102,714

Collatz Trajectory (211 steps to reach 1)

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

718,998 359,499 1,078,498 539,249 1,617,748 808,874 404,437 1,213,312 606,656 303,328 151,664 75,832 37,916 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 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

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