4,848,738

2 × 3 × 59 × 13697

Starting at 4,848,738, the Collatz iteration reaches 1 after 198 steps. The first transition is 2424369; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 13697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,862,560

Proper Divisor Sum 5,013,822

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4848731 ← → #4848763

Radix Representation

Decimal	4848738
Binary	10010011111110001100010 (23 bits)
Octal	0o22376142
Hexadecimal	0x49FC62

Divisor Catalog (16)

1 2 3 6 59 118 177 354 13,697 27,394 41,091 82,182 808,123 1,616,246 2,424,369 4,848,738

Collatz Trajectory (198 steps to reach 1)

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

4,848,738 2,424,369 7,273,108 3,636,554 1,818,277 5,454,832 2,727,416 1,363,708 681,854 340,927 1,022,782 511,391 1,534,174 767,087 2,301,262 1,150,631 3,451,894 1,725,947 5,177,842 2,588,921 7,766,764 3,883,382 1,941,691 5,825,074 2,912,537 8,737,612 4,368,806 2,184,403 6,553,210 3,276,605 9,829,816 4,914,908 2,457,454 1,228,727 3,686,182 1,843,091 5,529,274 2,764,637 8,293,912 4,146,956 2,073,478 1,036,739 3,110,218 1,555,109 4,665,328 2,332,664 1,166,332 583,166 291,583 874,750 437,375 1,312,126 656,063 1,968,190 984,095 2,952,286 1,476,143 4,428,430 2,214,215 6,642,646

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