823,595

5 × 127 × 1297

823,595 factors as 5 × 127 × 1297. Its 8 positive divisors give a proper-divisor sum of 173,269, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 127 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 996,864

Proper Divisor Sum 173,269

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #823591 ← → #823601

Radix Representation

Decimal	823595
Binary	11001001000100101011 (20 bits)
Octal	0o3110453
Hexadecimal	0xC912B

Divisor Catalog (8)

1 5 127 635 1,297 6,485 164,719 823,595

Collatz Trajectory (118 steps to reach 1)

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

823,595 2,470,786 1,235,393 3,706,180 1,853,090 926,545 2,779,636 1,389,818 694,909 2,084,728 1,042,364 521,182 260,591 781,774 390,887 1,172,662 586,331 1,758,994 879,497 2,638,492 1,319,246 659,623 1,978,870 989,435 2,968,306 1,484,153 4,452,460 2,226,230 1,113,115 3,339,346 1,669,673 5,009,020 2,504,510 1,252,255 3,756,766 1,878,383 5,635,150 2,817,575 8,452,726 4,226,363 12,679,090 6,339,545 19,018,636 9,509,318 4,754,659 14,263,978 7,131,989 21,395,968 10,697,984 5,348,992 2,674,496 1,337,248 668,624 334,312 167,156 83,578 41,789 125,368 62,684 31,342

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