1,760,397

3 × 23 × 31 × 823

1,760,397 factors as 3 × 23 × 31 × 823. Its 16 positive divisors give a proper-divisor sum of 770,931, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3 × 23 × 31 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,531,328

Proper Divisor Sum 770,931

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1760389 ← → #1760419

Radix Representation

Decimal	1760397
Binary	110101101110010001101 (21 bits)
Octal	0o6556215
Hexadecimal	0x1ADC8D

Divisor Catalog (16)

1 3 23 31 69 93 713 823 2,139 2,469 18,929 25,513 56,787 76,539 586,799 1,760,397

Collatz Trajectory (127 steps to reach 1)

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

1,760,397 5,281,192 2,640,596 1,320,298 660,149 1,980,448 990,224 495,112 247,556 123,778 61,889 185,668 92,834 46,417 139,252 69,626 34,813 104,440 52,220 26,110 13,055 39,166 19,583 58,750 29,375 88,126 44,063 132,190 66,095 198,286 99,143 297,430 148,715 446,146 223,073 669,220 334,610 167,305 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000

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