1,688,591

23 × 73417

1,688,591 factors as 23 × 73417. Its 4 positive divisors give a proper-divisor sum of 73,441, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 23 × 73417

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,762,032

Proper Divisor Sum 73,441

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1688579 ← → #1688623

Radix Representation

Decimal	1688591
Binary	110011100010000001111 (21 bits)
Octal	0o6342017
Hexadecimal	0x19C40F

Divisor Catalog (4)

1 23 73,417 1,688,591

Collatz Trajectory (132 steps to reach 1)

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

1,688,591 5,065,774 2,532,887 7,598,662 3,799,331 11,397,994 5,698,997 17,096,992 8,548,496 4,274,248 2,137,124 1,068,562 534,281 1,602,844 801,422 400,711 1,202,134 601,067 1,803,202 901,601 2,704,804 1,352,402 676,201 2,028,604 1,014,302 507,151 1,521,454 760,727 2,282,182 1,141,091 3,423,274 1,711,637 5,134,912 2,567,456 1,283,728 641,864 320,932 160,466 80,233 240,700 120,350 60,175 180,526 90,263 270,790 135,395 406,186 203,093 609,280 304,640 152,320 76,160 38,080 19,040 9,520 4,760 2,380 1,190 595 1,786

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