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Atlas › Integer Profiles › Node 1,703,862

1,703,862

2 × 33 × 139 × 227
Abundant Even Composite

1,703,862 factors as 2 × 3^3 × 139 × 227. Its 32 positive divisors give a proper-divisor sum of 2,126,538, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 139 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,830,400
Proper Divisor Sum 2,126,538
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1703857 ← → #1703899

Radix Representation

Decimal 1703862
Binary 110011111111110110110 (21 bits)
Octal 0o6377666
Hexadecimal 0x19FFB6

Divisor Catalog (32)

1 2 3 6 9 18 27 54 139 227 278 417 454 681 834 1,251 1,362 2,043 2,502 3,753 4,086 6,129 7,506 12,258 31,553 63,106 94,659 189,318 283,977 567,954 851,931 1,703,862

Collatz Trajectory (189 steps to reach 1)

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

1,703,862 851,931 2,555,794 1,277,897 3,833,692 1,916,846 958,423 2,875,270 1,437,635 4,312,906 2,156,453 6,469,360 3,234,680 1,617,340 808,670 404,335 1,213,006 606,503 1,819,510 909,755 2,729,266 1,364,633 4,093,900 2,046,950 1,023,475 3,070,426 1,535,213 4,605,640 2,302,820 1,151,410 575,705 1,727,116 863,558 431,779 1,295,338 647,669 1,943,008 971,504 485,752 242,876 121,438 60,719 182,158 91,079 273,238 136,619 409,858 204,929 614,788 307,394 153,697 461,092 230,546 115,273 345,820 172,910 86,455 259,366 129,683 389,050

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