1,529,004

2² × 3 × 47 × 2711

1,529,004 factors as 2^2 × 3 × 47 × 2711. Its 24 positive divisors give a proper-divisor sum of 2,115,924, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 2711

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,644,928

Proper Divisor Sum 2,115,924

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1528999 ← → #1529009

Radix Representation

Decimal	1529004
Binary	101110101010010101100 (21 bits)
Octal	0o5652254
Hexadecimal	0x1754AC

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

1,529,004 764,502 382,251 1,146,754 573,377 1,720,132 860,066 430,033 1,290,100 645,050 322,525 967,576 483,788 241,894 120,947 362,842 181,421 544,264 272,132 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706

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