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Atlas › Integer Profiles › Node 1,645,752

1,645,752

23 × 3 × 47 × 1459
Abundant Even Composite

1,645,752 factors as 2^3 × 3 × 47 × 1459. Its 32 positive divisors give a proper-divisor sum of 2,559,048, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,204,800
Proper Divisor Sum 2,559,048
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1645747 ← → #1645757

Radix Representation

Decimal 1645752
Binary 110010001110010111000 (21 bits)
Octal 0o6216270
Hexadecimal 0x191CB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1,128 1,459 2,918 4,377 5,836 8,754 11,672 17,508 35,016 68,573 137,146 205,719 274,292 411,438 548,584 822,876 1,645,752

Collatz Trajectory (176 steps to reach 1)

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

1,645,752 822,876 411,438 205,719 617,158 308,579 925,738 462,869 1,388,608 694,304 347,152 173,576 86,788 43,394 21,697 65,092 32,546 16,273 48,820 24,410 12,205 36,616 18,308 9,154 4,577 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744

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