822,758

2 × 411379

Starting at 822,758, the Collatz iteration reaches 1 after 113 steps. The first transition is 411379; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 411379

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,234,140

Proper Divisor Sum 411,382

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #822743 ← → #822761

Radix Representation

Decimal	822758
Binary	11001000110111100110 (20 bits)
Octal	0o3106746
Hexadecimal	0xC8DE6

Divisor Catalog (4)

1 2 411,379 822,758

Collatz Trajectory (113 steps to reach 1)

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

822,758 411,379 1,234,138 617,069 1,851,208 925,604 462,802 231,401 694,204 347,102 173,551 520,654 260,327 780,982 390,491 1,171,474 585,737 1,757,212 878,606 439,303 1,317,910 658,955 1,976,866 988,433 2,965,300 1,482,650 741,325 2,223,976 1,111,988 555,994 277,997 833,992 416,996 208,498 104,249 312,748 156,374 78,187 234,562 117,281 351,844 175,922 87,961 263,884 131,942 65,971 197,914 98,957 296,872 148,436 74,218 37,109 111,328 55,664 27,832 13,916 6,958 3,479 10,438 5,219

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