2,567,780

2² × 5 × 128389

Starting at 2,567,780, the Collatz iteration reaches 1 after 218 steps. The first transition is 1283890; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 128389

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,392,380

Proper Divisor Sum 2,824,600

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2567779 ← → #2567783

Radix Representation

Decimal	2567780
Binary	1001110010111001100100 (22 bits)
Octal	0o11627144
Hexadecimal	0x272E64

Divisor Catalog (12)

1 2 4 5 10 20 128,389 256,778 513,556 641,945 1,283,890 2,567,780

Collatz Trajectory (218 steps to reach 1)

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

2,567,780 1,283,890 641,945 1,925,836 962,918 481,459 1,444,378 722,189 2,166,568 1,083,284 541,642 270,821 812,464 406,232 203,116 101,558 50,779 152,338 76,169 228,508 114,254 57,127 171,382 85,691 257,074 128,537 385,612 192,806 96,403 289,210 144,605 433,816 216,908 108,454 54,227 162,682 81,341 244,024 122,012 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726

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