1,734,006

2 × 3 × 289001

1,734,006 factors as 2 × 3 × 289001. Its 8 positive divisors give a proper-divisor sum of 1,734,018, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3 × 289001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,468,024

Proper Divisor Sum 1,734,018

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1733999 ← → #1734011

Radix Representation

Decimal	1734006
Binary	110100111010101110110 (21 bits)
Octal	0o6472566
Hexadecimal	0x1A7576

Divisor Catalog (8)

1 2 3 6 289,001 578,002 867,003 1,734,006

Collatz Trajectory (189 steps to reach 1)

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

1,734,006 867,003 2,601,010 1,300,505 3,901,516 1,950,758 975,379 2,926,138 1,463,069 4,389,208 2,194,604 1,097,302 548,651 1,645,954 822,977 2,468,932 1,234,466 617,233 1,851,700 925,850 462,925 1,388,776 694,388 347,194 173,597 520,792 260,396 130,198 65,099 195,298 97,649 292,948 146,474 73,237 219,712 109,856 54,928 27,464 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835

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