1,009,821

3 × 409 × 823

Starting at 1,009,821, the Collatz iteration reaches 1 after 227 steps. The first transition is 3029464; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 409 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,351,360

Proper Divisor Sum 341,539

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1009819 ← → #1009837

Radix Representation

Decimal	1009821
Binary	11110110100010011101 (20 bits)
Octal	0o3664235
Hexadecimal	0xF689D

Divisor Catalog (8)

1 3 409 823 1,227 2,469 336,607 1,009,821

Collatz Trajectory (227 steps to reach 1)

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

1,009,821 3,029,464 1,514,732 757,366 378,683 1,136,050 568,025 1,704,076 852,038 426,019 1,278,058 639,029 1,917,088 958,544 479,272 239,636 119,818 59,909 179,728 89,864 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446

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