1,741,284

2² × 3³ × 23 × 701

1,741,284 has digital root 9. The neighboring primes are 1741273 and 1741291; its proper-divisor sum differs from the starting integer by 1,234,872.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,717,440

Proper Divisor Sum 2,976,156

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1741273 ← → #1741291

Radix Representation

Decimal	1741284
Binary	110101001000111100100 (21 bits)
Octal	0o6510744
Hexadecimal	0x1A91E4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 701 828 1,242 1,402 2,103 2,484 2,804 4,206 6,309 8,412 12,618 16,123 18,927 25,236 32,246 37,854 48,369 64,492 75,708 96,738 145,107 193,476 290,214 435,321 580,428 870,642 1,741,284

Collatz Trajectory (189 steps to reach 1)

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

1,741,284 870,642 435,321 1,305,964 652,982 326,491 979,474 489,737 1,469,212 734,606 367,303 1,101,910 550,955 1,652,866 826,433 2,479,300 1,239,650 619,825 1,859,476 929,738 464,869 1,394,608 697,304 348,652 174,326 87,163 261,490 130,745 392,236 196,118 98,059 294,178 147,089 441,268 220,634 110,317 330,952 165,476 82,738 41,369 124,108 62,054 31,027 93,082 46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841

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