6,342,330

2 × 3 × 5 × 163 × 1297

Starting at 6,342,330, the Collatz iteration reaches 1 after 147 steps. The first transition is 3171165; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 163 × 1297

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,326,784

Proper Divisor Sum 8,984,454

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6342317 ← → #6342337

Radix Representation

Decimal	6342330
Binary	11000001100011010111010 (23 bits)
Octal	0o30143272
Hexadecimal	0x60C6BA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 163 326 489 815 978 1,297 1,630 2,445 2,594 3,891 4,890 6,485 7,782 12,970 19,455 38,910 211,411 422,822 634,233 1,057,055 1,268,466 2,114,110 3,171,165 6,342,330

Collatz Trajectory (147 steps to reach 1)

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

6,342,330 3,171,165 9,513,496 4,756,748 2,378,374 1,189,187 3,567,562 1,783,781 5,351,344 2,675,672 1,337,836 668,918 334,459 1,003,378 501,689 1,505,068 752,534 376,267 1,128,802 564,401 1,693,204 846,602 423,301 1,269,904 634,952 317,476 158,738 79,369 238,108 119,054 59,527 178,582 89,291 267,874 133,937 401,812 200,906 100,453 301,360 150,680 75,340 37,670 18,835 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118

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