6,859,221

3 × 23 × 99409

Starting at 6,859,221, the Collatz iteration reaches 1 after 178 steps. The first transition is 20577664; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 99409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,543,360

Proper Divisor Sum 2,684,139

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6859217 ← → #6859241

Radix Representation

Decimal	6859221
Binary	11010001010100111010101 (23 bits)
Octal	0o32124725
Hexadecimal	0x68A9D5

Divisor Catalog (8)

1 3 23 69 99,409 298,227 2,286,407 6,859,221

Collatz Trajectory (178 steps to reach 1)

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

6,859,221 20,577,664 10,288,832 5,144,416 2,572,208 1,286,104 643,052 321,526 160,763 482,290 241,145 723,436 361,718 180,859 542,578 271,289 813,868 406,934 203,467 610,402 305,201 915,604 457,802 228,901 686,704 343,352 171,676 85,838 42,919 128,758 64,379 193,138 96,569 289,708 144,854 72,427 217,282 108,641 325,924 162,962 81,481 244,444 122,222 61,111 183,334 91,667 275,002 137,501 412,504 206,252 103,126 51,563 154,690 77,345 232,036 116,018 58,009 174,028 87,014 43,507

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