7,588,497

3 × 7 × 361357

Starting at 7,588,497, the Collatz iteration reaches 1 after 217 steps. The first transition is 22765492; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 361357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,563,456

Proper Divisor Sum 3,974,959

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7588481 ← → #7588499

Radix Representation

Decimal	7588497
Binary	11100111100101010010001 (23 bits)
Octal	0o34745221
Hexadecimal	0x73CA91

Divisor Catalog (8)

1 3 7 21 361,357 1,084,071 2,529,499 7,588,497

Collatz Trajectory (217 steps to reach 1)

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

7,588,497 22,765,492 11,382,746 5,691,373 17,074,120 8,537,060 4,268,530 2,134,265 6,402,796 3,201,398 1,600,699 4,802,098 2,401,049 7,203,148 3,601,574 1,800,787 5,402,362 2,701,181 8,103,544 4,051,772 2,025,886 1,012,943 3,038,830 1,519,415 4,558,246 2,279,123 6,837,370 3,418,685 10,256,056 5,128,028 2,564,014 1,282,007 3,846,022 1,923,011 5,769,034 2,884,517 8,653,552 4,326,776 2,163,388 1,081,694 540,847 1,622,542 811,271 2,433,814 1,216,907 3,650,722 1,825,361 5,476,084 2,738,042 1,369,021 4,107,064 2,053,532 1,026,766 513,383 1,540,150 770,075 2,310,226 1,155,113 3,465,340 1,732,670

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