λ
Integer Codex

3,749,682

2 × 3 × 347 × 1801
Abundant Even Composite

For 3,749,682, the 16 positive divisors have a total of 7,525,152. Removing 3,749,682 leaves 3,775,470, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 347 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,525,152
Proper Divisor Sum 3,775,470
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3749677 ← → #3749687

Radix Representation

Decimal 3749682
Binary 1110010011011100110010 (22 bits)
Octal 0o16233462
Hexadecimal 0x393732

Divisor Catalog (16)

1 2 3 6 347 694 1,041 1,801 2,082 3,602 5,403 10,806 624,947 1,249,894 1,874,841 3,749,682

Collatz Trajectory (185 steps to reach 1)

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

3,749,682 1,874,841 5,624,524 2,812,262 1,406,131 4,218,394 2,109,197 6,327,592 3,163,796 1,581,898 790,949 2,372,848 1,186,424 593,212 296,606 148,303 444,910 222,455 667,366 333,683 1,001,050 500,525 1,501,576 750,788 375,394 187,697 563,092 281,546 140,773 422,320 211,160 105,580 52,790 26,395 79,186 39,593 118,780 59,390 29,695 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210

More profiles

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