698,238

2 × 3² × 38791

698,238 factors as 2 × 3^2 × 38791. Its 12 positive divisors give a proper-divisor sum of 814,650, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 38791

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,512,888

Proper Divisor Sum 814,650

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #698183 ← → #698239

Radix Representation

Decimal	698238
Binary	10101010011101111110 (20 bits)
Octal	0o2523576
Hexadecimal	0xAA77E

Divisor Catalog (12)

1 2 3 6 9 18 38,791 77,582 116,373 232,746 349,119 698,238

Collatz Trajectory (180 steps to reach 1)

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

698,238 349,119 1,047,358 523,679 1,571,038 785,519 2,356,558 1,178,279 3,534,838 1,767,419 5,302,258 2,651,129 7,953,388 3,976,694 1,988,347 5,965,042 2,982,521 8,947,564 4,473,782 2,236,891 6,710,674 3,355,337 10,066,012 5,033,006 2,516,503 7,549,510 3,774,755 11,324,266 5,662,133 16,986,400 8,493,200 4,246,600 2,123,300 1,061,650 530,825 1,592,476 796,238 398,119 1,194,358 597,179 1,791,538 895,769 2,687,308 1,343,654 671,827 2,015,482 1,007,741 3,023,224 1,511,612 755,806 377,903 1,133,710 566,855 1,700,566 850,283 2,550,850 1,275,425 3,826,276 1,913,138 956,569

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #698,237 Browse Full Index Next Integer #698,239 →