1,057,290

2 × 3 × 5 × 13 × 2711

Starting at 1,057,290, the Collatz iteration reaches 1 after 72 steps. The first transition is 528645; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 2711

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,733,696

Proper Divisor Sum 1,676,406

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1057279 ← → #1057291

Radix Representation

Decimal	1057290
Binary	100000010001000001010 (21 bits)
Octal	0o4021012
Hexadecimal	0x10220A

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2,711 5,422 8,133 13,555 16,266 27,110 35,243 40,665 70,486 81,330 105,729 176,215 211,458 352,430 528,645 1,057,290

Collatz Trajectory (72 steps to reach 1)

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

1,057,290 528,645 1,585,936 792,968 396,484 198,242 99,121 297,364 148,682 74,341 223,024 111,512 55,756 27,878 13,939 41,818 20,909 62,728 31,364 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34

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