12,923,973

3² × 1435997

12,923,973 factors as 3^2 × 1435997. Its 6 positive divisors give a proper-divisor sum of 5,744,001, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3^2 × 1435997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 18,667,974

Proper Divisor Sum 5,744,001

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #12923947 ← → #12923983

Radix Representation

Decimal	12923973
Binary	110001010011010001000101 (24 bits)
Octal	0o61232105
Hexadecimal	0xC53445

Divisor Catalog (6)

1 3 9 1,435,997 4,307,991 12,923,973

Collatz Trajectory (210 steps to reach 1)

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

12,923,973 38,771,920 19,385,960 9,692,980 4,846,490 2,423,245 7,269,736 3,634,868 1,817,434 908,717 2,726,152 1,363,076 681,538 340,769 1,022,308 511,154 255,577 766,732 383,366 191,683 575,050 287,525 862,576 431,288 215,644 107,822 53,911 161,734 80,867 242,602 121,301 363,904 181,952 90,976 45,488 22,744 11,372 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012

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