20,004,129

3² × 1471 × 1511

20,004,129 factors as 3^2 × 1471 × 1511. Its 12 positive divisors give a proper-divisor sum of 8,929,503, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 3^2 × 1471 × 1511

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 28,933,632

Proper Divisor Sum 8,929,503

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #20004107 ← → #20004133

Radix Representation

Decimal	20004129
Binary	1001100010011110100100001 (25 bits)
Octal	0o114236441
Hexadecimal	0x1313D21

Divisor Catalog (12)

1 3 9 1,471 1,511 4,413 4,533 13,239 13,599 2,222,681 6,668,043 20,004,129

Collatz Trajectory (252 steps to reach 1)

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

20,004,129 60,012,388 30,006,194 15,003,097 45,009,292 22,504,646 11,252,323 33,756,970 16,878,485 50,635,456 25,317,728 12,658,864 6,329,432 3,164,716 1,582,358 791,179 2,373,538 1,186,769 3,560,308 1,780,154 890,077 2,670,232 1,335,116 667,558 333,779 1,001,338 500,669 1,502,008 751,004 375,502 187,751 563,254 281,627 844,882 422,441 1,267,324 633,662 316,831 950,494 475,247 1,425,742 712,871 2,138,614 1,069,307 3,207,922 1,603,961 4,811,884 2,405,942 1,202,971 3,608,914 1,804,457 5,413,372 2,706,686 1,353,343 4,060,030 2,030,015 6,090,046 3,045,023 9,135,070 4,567,535

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