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Atlas › Integer Profiles › Node 3,376,340

3,376,340

22 × 5 × 11 × 103 × 149
Abundant Even Composite

3,376,340 factors as 2^2 × 5 × 11 × 103 × 149. Its 48 positive divisors give a proper-divisor sum of 4,486,060, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 103 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,862,400
Proper Divisor Sum 4,486,060
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3376333 ← → #3376343

Radix Representation

Decimal 3376340
Binary 1100111000010011010100 (22 bits)
Octal 0o14702324
Hexadecimal 0x3384D4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 103 110 149 206 220 298 412 515 596 745 1,030 1,133 1,490 1,639 2,060 2,266 2,980 3,278 4,532 5,665 6,556 8,195 11,330 15,347 16,390 22,660 30,694 32,780 61,388 76,735 153,470 168,817 306,940 337,634 675,268 844,085 1,688,170 3,376,340

Collatz Trajectory (84 steps to reach 1)

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

3,376,340 1,688,170 844,085 2,532,256 1,266,128 633,064 316,532 158,266 79,133 237,400 118,700 59,350 29,675 89,026 44,513 133,540 66,770 33,385 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596

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