9,005,537

67 × 257 × 523

Starting at 9,005,537, the Collatz iteration reaches 1 after 300 steps. The first transition is 27016612; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 67 × 257 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,193,056

Proper Divisor Sum 187,519

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9005519 ← → #9005539

Radix Representation

Decimal	9005537
Binary	100010010110100111100001 (24 bits)
Octal	0o42264741
Hexadecimal	0x8969E1

Divisor Catalog (8)

1 67 257 523 17,219 35,041 134,411 9,005,537

Collatz Trajectory (300 steps to reach 1)

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

9,005,537 27,016,612 13,508,306 6,754,153 20,262,460 10,131,230 5,065,615 15,196,846 7,598,423 22,795,270 11,397,635 34,192,906 17,096,453 51,289,360 25,644,680 12,822,340 6,411,170 3,205,585 9,616,756 4,808,378 2,404,189 7,212,568 3,606,284 1,803,142 901,571 2,704,714 1,352,357 4,057,072 2,028,536 1,014,268 507,134 253,567 760,702 380,351 1,141,054 570,527 1,711,582 855,791 2,567,374 1,283,687 3,851,062 1,925,531 5,776,594 2,888,297 8,664,892 4,332,446 2,166,223 6,498,670 3,249,335 9,748,006 4,874,003 14,622,010 7,311,005 21,933,016 10,966,508 5,483,254 2,741,627 8,224,882 4,112,441 12,337,324

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