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Atlas › Integer Profiles › Node 1,768,720

1,768,720

24 × 5 × 22109
Abundant Even Composite

1,768,720 factors as 2^4 × 5 × 22109. Its 20 positive divisors give a proper-divisor sum of 2,343,740, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 22109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,112,460
Proper Divisor Sum 2,343,740
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1768709 ← → #1768721

Radix Representation

Decimal 1768720
Binary 110101111110100010000 (21 bits)
Octal 0o6576420
Hexadecimal 0x1AFD10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 22,109 44,218 88,436 110,545 176,872 221,090 353,744 442,180 884,360 1,768,720

Collatz Trajectory (127 steps to reach 1)

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

1,768,720 884,360 442,180 221,090 110,545 331,636 165,818 82,909 248,728 124,364 62,182 31,091 93,274 46,637 139,912 69,956 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 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230

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