1,742,046

2 × 3 × 199 × 1459

For 1,742,046, the 16 positive divisors have a total of 3,504,000. Removing 1,742,046 leaves 1,761,954, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 199 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,504,000

Proper Divisor Sum 1,761,954

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1742033 ← → #1742051

Radix Representation

Decimal	1742046
Binary	110101001010011011110 (21 bits)
Octal	0o6512336
Hexadecimal	0x1A94DE

Divisor Catalog (16)

1 2 3 6 199 398 597 1,194 1,459 2,918 4,377 8,754 290,341 580,682 871,023 1,742,046

Collatz Trajectory (264 steps to reach 1)

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

1,742,046 871,023 2,613,070 1,306,535 3,919,606 1,959,803 5,879,410 2,939,705 8,819,116 4,409,558 2,204,779 6,614,338 3,307,169 9,921,508 4,960,754 2,480,377 7,441,132 3,720,566 1,860,283 5,580,850 2,790,425 8,371,276 4,185,638 2,092,819 6,278,458 3,139,229 9,417,688 4,708,844 2,354,422 1,177,211 3,531,634 1,765,817 5,297,452 2,648,726 1,324,363 3,973,090 1,986,545 5,959,636 2,979,818 1,489,909 4,469,728 2,234,864 1,117,432 558,716 279,358 139,679 419,038 209,519 628,558 314,279 942,838 471,419 1,414,258 707,129 2,121,388 1,060,694 530,347 1,591,042 795,521 2,386,564

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