2,852,154

2 × 3² × 193 × 821

Starting at 2,852,154, the Collatz iteration reaches 1 after 125 steps. The first transition is 1426077; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 193 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,219,252

Proper Divisor Sum 3,367,098

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2852149 ← → #2852159

Radix Representation

Decimal	2852154
Binary	1010111000010100111010 (22 bits)
Octal	0o12702472
Hexadecimal	0x2B853A

Divisor Catalog (24)

1 2 3 6 9 18 193 386 579 821 1,158 1,642 1,737 2,463 3,474 4,926 7,389 14,778 158,453 316,906 475,359 950,718 1,426,077 2,852,154

Collatz Trajectory (125 steps to reach 1)

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

2,852,154 1,426,077 4,278,232 2,139,116 1,069,558 534,779 1,604,338 802,169 2,406,508 1,203,254 601,627 1,804,882 902,441 2,707,324 1,353,662 676,831 2,030,494 1,015,247 3,045,742 1,522,871 4,568,614 2,284,307 6,852,922 3,426,461 10,279,384 5,139,692 2,569,846 1,284,923 3,854,770 1,927,385 5,782,156 2,891,078 1,445,539 4,336,618 2,168,309 6,504,928 3,252,464 1,626,232 813,116 406,558 203,279 609,838 304,919 914,758 457,379 1,372,138 686,069 2,058,208 1,029,104 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238

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