7,087,523

727 × 9749

Starting at 7,087,523, the Collatz iteration reaches 1 after 222 steps. The first transition is 21262570; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 727 × 9749

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,098,000

Proper Divisor Sum 10,477

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7087517 ← → #7087543

Radix Representation

Decimal	7087523
Binary	11011000010010110100011 (23 bits)
Octal	0o33022643
Hexadecimal	0x6C25A3

Divisor Catalog (4)

1 727 9,749 7,087,523

Collatz Trajectory (222 steps to reach 1)

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

7,087,523 21,262,570 10,631,285 31,893,856 15,946,928 7,973,464 3,986,732 1,993,366 996,683 2,990,050 1,495,025 4,485,076 2,242,538 1,121,269 3,363,808 1,681,904 840,952 420,476 210,238 105,119 315,358 157,679 473,038 236,519 709,558 354,779 1,064,338 532,169 1,596,508 798,254 399,127 1,197,382 598,691 1,796,074 898,037 2,694,112 1,347,056 673,528 336,764 168,382 84,191 252,574 126,287 378,862 189,431 568,294 284,147 852,442 426,221 1,278,664 639,332 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720

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