λ
Match Zalai

1,990,824

23 × 3 × 11 × 7541
Abundant Even Composite

1,990,824 factors as 2^3 × 3 × 11 × 7541. Its 32 positive divisors give a proper-divisor sum of 3,439,416, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 7541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,430,240
Proper Divisor Sum 3,439,416
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1990823 ← → #1990829

Radix Representation

Decimal 1990824
Binary 111100110000010101000 (21 bits)
Octal 0o7460250
Hexadecimal 0x1E60A8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 7,541 15,082 22,623 30,164 45,246 60,328 82,951 90,492 165,902 180,984 248,853 331,804 497,706 663,608 995,412 1,990,824

Collatz Trajectory (91 steps to reach 1)

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

1,990,824 995,412 497,706 248,853 746,560 373,280 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 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 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59

More profiles

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