663,199

149 × 4451

Starting at 663,199, the Collatz iteration reaches 1 after 167 steps. The first transition is 1989598; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 149 × 4451

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 667,800

Proper Divisor Sum 4,601

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #663191 ← → #663203

Radix Representation

Decimal	663199
Binary	10100001111010011111 (20 bits)
Octal	0o2417237
Hexadecimal	0xA1E9F

Divisor Catalog (4)

1 149 4,451 663,199

Collatz Trajectory (167 steps to reach 1)

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

663,199 1,989,598 994,799 2,984,398 1,492,199 4,476,598 2,238,299 6,714,898 3,357,449 10,072,348 5,036,174 2,518,087 7,554,262 3,777,131 11,331,394 5,665,697 16,997,092 8,498,546 4,249,273 12,747,820 6,373,910 3,186,955 9,560,866 4,780,433 14,341,300 7,170,650 3,585,325 10,755,976 5,377,988 2,688,994 1,344,497 4,033,492 2,016,746 1,008,373 3,025,120 1,512,560 756,280 378,140 189,070 94,535 283,606 141,803 425,410 212,705 638,116 319,058 159,529 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576

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