1,001,430

2 × 3³ × 5 × 3709

1,001,430 has the prime decomposition 2 × 3^3 × 5 × 3709. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 3709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,671,200

Proper Divisor Sum 1,669,770

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1001411 ← → #1001431

Radix Representation

Decimal	1001430
Binary	11110100011111010110 (20 bits)
Octal	0o3643726
Hexadecimal	0xF47D6

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3,709 7,418 11,127 18,545 22,254 33,381 37,090 55,635 66,762 100,143 111,270 166,905 200,286 333,810 500,715 1,001,430

Collatz Trajectory (113 steps to reach 1)

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

1,001,430 500,715 1,502,146 751,073 2,253,220 1,126,610 563,305 1,689,916 844,958 422,479 1,267,438 633,719 1,901,158 950,579 2,851,738 1,425,869 4,277,608 2,138,804 1,069,402 534,701 1,604,104 802,052 401,026 200,513 601,540 300,770 150,385 451,156 225,578 112,789 338,368 169,184 84,592 42,296 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122

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