842,829

3 × 13 × 21611

842,829 factors as 3 × 13 × 21611. Its 8 positive divisors give a proper-divisor sum of 367,443, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 3 × 13 × 21611

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,210,272

Proper Divisor Sum 367,443

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #842819 ← → #842857

Radix Representation

Decimal	842829
Binary	11001101110001001101 (20 bits)
Octal	0o3156115
Hexadecimal	0xCDC4D

Divisor Catalog (8)

1 3 13 39 21,611 64,833 280,943 842,829

Collatz Trajectory (206 steps to reach 1)

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

842,829 2,528,488 1,264,244 632,122 316,061 948,184 474,092 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144 480,572 240,286 120,143 360,430 180,215 540,646 270,323 810,970 405,485 1,216,456 608,228 304,114 152,057 456,172 228,086 114,043 342,130 171,065 513,196 256,598 128,299 384,898 192,449

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