2,577,198

2 × 3 × 13 × 19 × 37 × 47

Starting at 2,577,198, the Collatz iteration reaches 1 after 50 steps. The first transition is 1288599; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 37 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 6,128,640

Proper Divisor Sum 3,551,442

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2577187 ← → #2577203

Radix Representation

Decimal	2577198
Binary	1001110101001100101110 (22 bits)
Octal	0o11651456
Hexadecimal	0x27532E

Divisor Catalog (60 of 64)

1 2 3 6 13 19 26 37 38 39 47 57 74 78 94 111 114 141 222 247 282 481 494 611 703 741 893 962 1,222 1,406 1,443 1,482 1,739 1,786 1,833 2,109 2,679 2,886 3,478 3,666 4,218 5,217 5,358 9,139 10,434 11,609 18,278 22,607 23,218 27,417 33,041 34,827 45,214 54,834 66,082 67,821 69,654 99,123 135,642 198,246

Collatz Trajectory (50 steps to reach 1)

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

2,577,198 1,288,599 3,865,798 1,932,899 5,798,698 2,899,349 8,698,048 4,349,024 2,174,512 1,087,256 543,628 271,814 135,907 407,722 203,861 611,584 305,792 152,896 76,448 38,224 19,112 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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