λ
Sigma Notebook

1,398,590

2 × 5 × 17 × 19 × 433
Abundant Even Composite

1,398,590 is even and not a perfect square. Its factorization is 2 × 5 × 17 × 19 × 433 and its 32 divisors sum to 2,812,320.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 19 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,812,320
Proper Divisor Sum 1,413,730
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1398581 ← → #1398599

Radix Representation

Decimal 1398590
Binary 101010101011100111110 (21 bits)
Octal 0o5253476
Hexadecimal 0x15573E

Divisor Catalog (32)

1 2 5 10 17 19 34 38 85 95 170 190 323 433 646 866 1,615 2,165 3,230 4,330 7,361 8,227 14,722 16,454 36,805 41,135 73,610 82,270 139,859 279,718 699,295 1,398,590

Collatz Trajectory (106 steps to reach 1)

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

1,398,590 699,295 2,097,886 1,048,943 3,146,830 1,573,415 4,720,246 2,360,123 7,080,370 3,540,185 10,620,556 5,310,278 2,655,139 7,965,418 3,982,709 11,948,128 5,974,064 2,987,032 1,493,516 746,758 373,379 1,120,138 560,069 1,680,208 840,104 420,052 210,026 105,013 315,040 157,520 78,760 39,380 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247

More profiles

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