λ
Harmonic Matrix

1,324,638

2 × 32 × 7 × 10513
Abundant Even Composite

1,324,638 has digital root 9. The neighboring primes are 1324627 and 1324649; its proper-divisor sum differs from the starting integer by 631,092.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 10513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,280,368
Proper Divisor Sum 1,955,730
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1324627 ← → #1324649

Radix Representation

Decimal 1324638
Binary 101000011011001011110 (21 bits)
Octal 0o5033136
Hexadecimal 0x14365E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 10,513 21,026 31,539 63,078 73,591 94,617 147,182 189,234 220,773 441,546 662,319 1,324,638

Collatz Trajectory (142 steps to reach 1)

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

1,324,638 662,319 1,986,958 993,479 2,980,438 1,490,219 4,470,658 2,235,329 6,705,988 3,352,994 1,676,497 5,029,492 2,514,746 1,257,373 3,772,120 1,886,060 943,030 471,515 1,414,546 707,273 2,121,820 1,060,910 530,455 1,591,366 795,683 2,387,050 1,193,525 3,580,576 1,790,288 895,144 447,572 223,786 111,893 335,680 167,840 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402

More profiles

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