7,133,523

3 × 17 × 61 × 2293

Starting at 7,133,523, the Collatz iteration reaches 1 after 147 steps. The first transition is 21400570; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 61 × 2293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,240,416

Proper Divisor Sum 3,106,893

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7133521 ← → #7133527

Radix Representation

Decimal	7133523
Binary	11011001101100101010011 (23 bits)
Octal	0o33154523
Hexadecimal	0x6CD953

Divisor Catalog (16)

1 3 17 51 61 183 1,037 2,293 3,111 6,879 38,981 116,943 139,873 419,619 2,377,841 7,133,523

Collatz Trajectory (147 steps to reach 1)

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

7,133,523 21,400,570 10,700,285 32,100,856 16,050,428 8,025,214 4,012,607 12,037,822 6,018,911 18,056,734 9,028,367 27,085,102 13,542,551 40,627,654 20,313,827 60,941,482 30,470,741 91,412,224 45,706,112 22,853,056 11,426,528 5,713,264 2,856,632 1,428,316 714,158 357,079 1,071,238 535,619 1,606,858 803,429 2,410,288 1,205,144 602,572 301,286 150,643 451,930 225,965 677,896 338,948 169,474 84,737 254,212 127,106 63,553 190,660 95,330 47,665 142,996 71,498 35,749 107,248 53,624 26,812 13,406 6,703 20,110 10,055 30,166 15,083 45,250

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