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Atlas › Integer Profiles › Node 1,815,462

1,815,462

2 × 32 × 11 × 53 × 173
Abundant Even Composite

1,815,462 factors as 2 × 3^2 × 11 × 53 × 173. Its 48 positive divisors give a proper-divisor sum of 2,581,866, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 53 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,397,328
Proper Divisor Sum 2,581,866
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1815461 ← → #1815467

Radix Representation

Decimal 1815462
Binary 110111011001110100110 (21 bits)
Octal 0o6731646
Hexadecimal 0x1BB3A6

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 53 66 99 106 159 173 198 318 346 477 519 583 954 1,038 1,166 1,557 1,749 1,903 3,114 3,498 3,806 5,247 5,709 9,169 10,494 11,418 17,127 18,338 27,507 34,254 55,014 82,521 100,859 165,042 201,718 302,577 605,154 907,731 1,815,462

Collatz Trajectory (65 steps to reach 1)

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

1,815,462 907,731 2,723,194 1,361,597 4,084,792 2,042,396 1,021,198 510,599 1,531,798 765,899 2,297,698 1,148,849 3,446,548 1,723,274 861,637 2,584,912 1,292,456 646,228 323,114 161,557 484,672 242,336 121,168 60,584 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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