3,048,512

2⁶ × 19 × 23 × 109

Starting at 3,048,512, the Collatz iteration reaches 1 after 58 steps. The first transition is 1524256; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 19 × 23 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 6,705,600

Proper Divisor Sum 3,657,088

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3048511 ← → #3048523

Radix Representation

Decimal	3048512
Binary	1011101000010001000000 (22 bits)
Octal	0o13502100
Hexadecimal	0x2E8440

Divisor Catalog (56)

1 2 4 8 16 19 23 32 38 46 64 76 92 109 152 184 218 304 368 436 437 608 736 872 874 1,216 1,472 1,744 1,748 2,071 2,507 3,488 3,496 4,142 5,014 6,976 6,992 8,284 10,028 13,984 16,568 20,056 27,968 33,136 40,112 47,633 66,272 80,224 95,266 132,544 160,448 190,532 381,064 762,128 1,524,256 3,048,512

Collatz Trajectory (58 steps to reach 1)

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

3,048,512 1,524,256 762,128 381,064 190,532 95,266 47,633 142,900 71,450 35,725 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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