823,121

13 × 63317

Starting at 823,121, the Collatz iteration reaches 1 after 87 steps. The first transition is 2469364; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 63317

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 886,452

Proper Divisor Sum 63,331

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #823117 ← → #823127

Radix Representation

Decimal	823121
Binary	11001000111101010001 (20 bits)
Octal	0o3107521
Hexadecimal	0xC8F51

Divisor Catalog (4)

1 13 63,317 823,121

Collatz Trajectory (87 steps to reach 1)

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

823,121 2,469,364 1,234,682 617,341 1,852,024 926,012 463,006 231,503 694,510 347,255 1,041,766 520,883 1,562,650 781,325 2,343,976 1,171,988 585,994 292,997 878,992 439,496 219,748 109,874 54,937 164,812 82,406 41,203 123,610 61,805 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224

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