1,527,033

3 × 431 × 1181

Starting at 1,527,033, the Collatz iteration reaches 1 after 269 steps. The first transition is 4581100; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 431 × 1181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,042,496

Proper Divisor Sum 515,463

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1527023 ← → #1527041

Radix Representation

Decimal	1527033
Binary	101110100110011111001 (21 bits)
Octal	0o5646371
Hexadecimal	0x174CF9

Divisor Catalog (8)

1 3 431 1,181 1,293 3,543 509,011 1,527,033

Collatz Trajectory (269 steps to reach 1)

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

1,527,033 4,581,100 2,290,550 1,145,275 3,435,826 1,717,913 5,153,740 2,576,870 1,288,435 3,865,306 1,932,653 5,797,960 2,898,980 1,449,490 724,745 2,174,236 1,087,118 543,559 1,630,678 815,339 2,446,018 1,223,009 3,669,028 1,834,514 917,257 2,751,772 1,375,886 687,943 2,063,830 1,031,915 3,095,746 1,547,873 4,643,620 2,321,810 1,160,905 3,482,716 1,741,358 870,679 2,612,038 1,306,019 3,918,058 1,959,029 5,877,088 2,938,544 1,469,272 734,636 367,318 183,659 550,978 275,489 826,468 413,234 206,617 619,852 309,926 154,963 464,890 232,445 697,336 348,668

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