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Atlas › Integer Profiles › Node 1,789,998

1,789,998

2 × 3 × 7 × 17 × 23 × 109
Abundant Even Composite

1,789,998 factors as 2 × 3 × 7 × 17 × 23 × 109. Its 64 positive divisors give a proper-divisor sum of 2,771,922, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 23 × 109
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,561,920
Proper Divisor Sum 2,771,922
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #1789993 ← → #1789999

Radix Representation

Decimal 1789998
Binary 110110101000000101110 (21 bits)
Octal 0o6650056
Hexadecimal 0x1B502E

Divisor Catalog (60 of 64)

1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 109 119 138 161 218 238 322 327 357 391 483 654 714 763 782 966 1,173 1,526 1,853 2,289 2,346 2,507 2,737 3,706 4,578 5,014 5,474 5,559 7,521 8,211 11,118 12,971 15,042 16,422 17,549 25,942 35,098 38,913 42,619 52,647 77,826 85,238 105,294 127,857 255,714

Collatz Trajectory (65 steps to reach 1)

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

1,789,998 894,999 2,684,998 1,342,499 4,027,498 2,013,749 6,041,248 3,020,624 1,510,312 755,156 377,578 188,789 566,368 283,184 141,592 70,796 35,398 17,699 53,098 26,549 79,648 39,824 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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