1,736,812

2² × 7 × 11 × 5639

1,736,812 factors as 2^2 × 7 × 11 × 5639. Its 24 positive divisors give a proper-divisor sum of 2,053,268, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 5639

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,790,080

Proper Divisor Sum 2,053,268

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1736797 ← → #1736821

Radix Representation

Decimal	1736812
Binary	110101000000001101100 (21 bits)
Octal	0o6500154
Hexadecimal	0x1A806C

Divisor Catalog (24)

Collatz Trajectory (127 steps to reach 1)

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

1,736,812 868,406 434,203 1,302,610 651,305 1,953,916 976,958 488,479 1,465,438 732,719 2,198,158 1,099,079 3,297,238 1,648,619 4,945,858 2,472,929 7,418,788 3,709,394 1,854,697 5,564,092 2,782,046 1,391,023 4,173,070 2,086,535 6,259,606 3,129,803 9,389,410 4,694,705 14,084,116 7,042,058 3,521,029 10,563,088 5,281,544 2,640,772 1,320,386 660,193 1,980,580 990,290 495,145 1,485,436 742,718 371,359 1,114,078 557,039 1,671,118 835,559 2,506,678 1,253,339 3,760,018 1,880,009 5,640,028 2,820,014 1,410,007 4,230,022 2,115,011 6,345,034 3,172,517 9,517,552 4,758,776 2,379,388

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