λ
Harmonic Matrix

2,036,580

22 × 3 × 5 × 7 × 13 × 373
Abundant Even Composite

2,036,580 has digital root 6. The neighboring primes are 2036579 and 2036597; its proper-divisor sum differs from the starting integer by 2,964,024.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 373
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 7,037,184
Proper Divisor Sum 5,000,604
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2036579 ← → #2036597

Radix Representation

Decimal 2036580
Binary 111110001001101100100 (21 bits)
Octal 0o7611544
Hexadecimal 0x1F1364

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 373 390 420 455 546 746 780 910 1,092 1,119 1,365 1,492 1,820 1,865 2,238 2,611 2,730 3,730 4,476 4,849 5,222 5,460 5,595

Collatz Trajectory (135 steps to reach 1)

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

2,036,580 1,018,290 509,145 1,527,436 763,718 381,859 1,145,578 572,789 1,718,368 859,184 429,592 214,796 107,398 53,699 161,098 80,549 241,648 120,824 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196 387,098 193,549 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516

More profiles

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