1,756,980

2² × 3² × 5 × 43 × 227

1,756,980 factors as 2^2 × 3^2 × 5 × 43 × 227. Its 72 positive divisors give a proper-divisor sum of 3,720,492, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 43 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,477,472

Proper Divisor Sum 3,720,492

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1756969 ← → #1756991

Radix Representation

Decimal	1756980
Binary	110101100111100110100 (21 bits)
Octal	0o6547464
Hexadecimal	0x1ACF34

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 227 258 387 430 454 516 645 681 774 860 908 1,135 1,290 1,362 1,548 1,935 2,043 2,270 2,580 2,724 3,405 3,870 4,086 4,540 6,810 7,740 8,172 9,761 10,215 13,620 19,522 20,430 29,283 39,044 40,860 48,805 58,566

Collatz Trajectory (127 steps to reach 1)

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

1,756,980 878,490 439,245 1,317,736 658,868 329,434 164,717 494,152 247,076 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150

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