698,640

2⁴ × 3 × 5 × 41 × 71

698,640 factors as 2^4 × 3 × 5 × 41 × 71. Its 80 positive divisors give a proper-divisor sum of 1,551,216, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 41 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 2,249,856

Proper Divisor Sum 1,551,216

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #698591 ← → #698641

Radix Representation

Decimal	698640
Binary	10101010100100010000 (20 bits)
Octal	0o2524420
Hexadecimal	0xAA910

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 71 80 82 120 123 142 164 205 213 240 246 284 328 355 410 426 492 568 615 656 710 820 852 984 1,065 1,136 1,230 1,420 1,640 1,704 1,968 2,130 2,460 2,840 2,911 3,280 3,408 4,260 4,920 5,680 5,822 8,520

Collatz Trajectory (136 steps to reach 1)

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

698,640 349,320 174,660 87,330 43,665 130,996 65,498 32,749 98,248 49,124 24,562 12,281 36,844 18,422 9,211 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 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

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #698,639 Browse Full Index Next Integer #698,641 →