318,462

2 × 3 × 53077

Starting at 318,462, the Collatz iteration reaches 1 after 202 steps. The first transition is 159231; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 53077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 636,936

Proper Divisor Sum 318,474

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #318457 ← → #318467

Radix Representation

Decimal	318462
Binary	1001101101111111110 (19 bits)
Octal	0o1155776
Hexadecimal	0x4DBFE

Divisor Catalog (8)

1 2 3 6 53,077 106,154 159,231 318,462

Collatz Trajectory (202 steps to reach 1)

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

318,462 159,231 477,694 238,847 716,542 358,271 1,074,814 537,407 1,612,222 806,111 2,418,334 1,209,167 3,627,502 1,813,751 5,441,254 2,720,627 8,161,882 4,080,941 12,242,824 6,121,412 3,060,706 1,530,353 4,591,060 2,295,530 1,147,765 3,443,296 1,721,648 860,824 430,412 215,206 107,603 322,810 161,405 484,216 242,108 121,054 60,527 181,582 90,791 272,374 136,187 408,562 204,281 612,844 306,422 153,211 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636 387,818 193,909 581,728 290,864 145,432 72,716

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