1,124,526

2 × 3 × 13² × 1109

Starting at 1,124,526, the Collatz iteration reaches 1 after 178 steps. The first transition is 562263; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,437,560

Proper Divisor Sum 1,313,034

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1124509 ← → #1124531

Radix Representation

Decimal	1124526
Binary	100010010100010101110 (21 bits)
Octal	0o4224256
Hexadecimal	0x1128AE

Divisor Catalog (24)

1 2 3 6 13 26 39 78 169 338 507 1,014 1,109 2,218 3,327 6,654 14,417 28,834 43,251 86,502 187,421 374,842 562,263 1,124,526

Collatz Trajectory (178 steps to reach 1)

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

1,124,526 562,263 1,686,790 843,395 2,530,186 1,265,093 3,795,280 1,897,640 948,820 474,410 237,205 711,616 355,808 177,904 88,952 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199

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