1,642,179

3 × 7 × 11 × 7109

1,642,179 factors as 3 × 7 × 11 × 7109. Its 16 positive divisors give a proper-divisor sum of 1,088,061, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 7109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,730,240

Proper Divisor Sum 1,088,061

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1642153 ← → #1642187

Radix Representation

Decimal	1642179
Binary	110010000111011000011 (21 bits)
Octal	0o6207303
Hexadecimal	0x190EC3

Divisor Catalog (16)

1 3 7 11 21 33 77 231 7,109 21,327 49,763 78,199 149,289 234,597 547,393 1,642,179

Collatz Trajectory (83 steps to reach 1)

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

1,642,179 4,926,538 2,463,269 7,389,808 3,694,904 1,847,452 923,726 461,863 1,385,590 692,795 2,078,386 1,039,193 3,117,580 1,558,790 779,395 2,338,186 1,169,093 3,507,280 1,753,640 876,820 438,410 219,205 657,616 328,808 164,404 82,202 41,101 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

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