6,900,528

2⁴ × 3 × 233 × 617

Starting at 6,900,528, the Collatz iteration reaches 1 after 147 steps. The first transition is 3450264; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 233 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,931,888

Proper Divisor Sum 11,031,360

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6900527 ← → #6900533

Radix Representation

Decimal	6900528
Binary	11010010100101100110000 (23 bits)
Octal	0o32245460
Hexadecimal	0x694B30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 233 466 617 699 932 1,234 1,398 1,851 1,864 2,468 2,796 3,702 3,728 4,936 5,592 7,404 9,872 11,184 14,808 29,616 143,761 287,522 431,283 575,044 862,566 1,150,088 1,725,132 2,300,176 3,450,264 6,900,528

Collatz Trajectory (147 steps to reach 1)

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

6,900,528 3,450,264 1,725,132 862,566 431,283 1,293,850 646,925 1,940,776 970,388 485,194 242,597 727,792 363,896 181,948 90,974 45,487 136,462 68,231 204,694 102,347 307,042 153,521 460,564 230,282 115,141 345,424 172,712 86,356 43,178 21,589 64,768 32,384 16,192 8,096 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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