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Atlas › Integer Profiles › Node 1,982,890

1,982,890

2 × 5 × 7 × 13 × 2179
Abundant Even Composite

1,982,890 factors as 2 × 5 × 7 × 13 × 2179. Its 32 positive divisors give a proper-divisor sum of 2,411,990, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,394,880
Proper Divisor Sum 2,411,990
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1982887 ← → #1982891

Radix Representation

Decimal 1982890
Binary 111100100000110101010 (21 bits)
Octal 0o7440652
Hexadecimal 0x1E41AA

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2,179 4,358 10,895 15,253 21,790 28,327 30,506 56,654 76,265 141,635 152,530 198,289 283,270 396,578 991,445 1,982,890

Collatz Trajectory (60 steps to reach 1)

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

1,982,890 991,445 2,974,336 1,487,168 743,584 371,792 185,896 92,948 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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