1,760,736

2⁵ × 3 × 18341

1,760,736 has digital root 3. The neighboring primes are 1760723 and 1760743; its proper-divisor sum differs from the starting integer by 1,100,712.

Prime Factor Structure

Factorization String 2^5 × 3 × 18341

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,622,184

Proper Divisor Sum 2,861,448

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1760723 ← → #1760743

Radix Representation

Decimal	1760736
Binary	110101101110111100000 (21 bits)
Octal	0o6556740
Hexadecimal	0x1ADDE0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 18,341 36,682 55,023 73,364 110,046 146,728 220,092 293,456 440,184 586,912 880,368 1,760,736

Collatz Trajectory (189 steps to reach 1)

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

1,760,736 880,368 440,184 220,092 110,046 55,023 165,070 82,535 247,606 123,803 371,410 185,705 557,116 278,558 139,279 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171

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