6,728,159

293 × 22963

Starting at 6,728,159, the Collatz iteration reaches 1 after 284 steps. The first transition is 20184478; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 293 × 22963

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,751,416

Proper Divisor Sum 23,257

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6728149 ← → #6728171

Radix Representation

Decimal	6728159
Binary	11001101010100111011111 (23 bits)
Octal	0o31524737
Hexadecimal	0x66A9DF

Divisor Catalog (4)

1 293 22,963 6,728,159

Collatz Trajectory (284 steps to reach 1)

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

6,728,159 20,184,478 10,092,239 30,276,718 15,138,359 45,415,078 22,707,539 68,122,618 34,061,309 102,183,928 51,091,964 25,545,982 12,772,991 38,318,974 19,159,487 57,478,462 28,739,231 86,217,694 43,108,847 129,326,542 64,663,271 193,989,814 96,994,907 290,984,722 145,492,361 436,477,084 218,238,542 109,119,271 327,357,814 163,678,907 491,036,722 245,518,361 736,555,084 368,277,542 184,138,771 552,416,314 276,208,157 828,624,472 414,312,236 207,156,118 103,578,059 310,734,178 155,367,089 466,101,268 233,050,634 116,525,317 349,575,952 174,787,976 87,393,988 43,696,994 21,848,497 65,545,492 32,772,746 16,386,373 49,159,120 24,579,560 12,289,780 6,144,890 3,072,445 9,217,336

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