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Atlas › Integer Profiles › Node 3,371,844

3,371,844

22 × 3 × 7 × 137 × 293
Abundant Even Composite

3,371,844 factors as 2^2 × 3 × 7 × 137 × 293. Its 48 positive divisors give a proper-divisor sum of 5,716,284, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 137 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,088,128
Proper Divisor Sum 5,716,284
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3371843 ← → #3371867

Radix Representation

Decimal 3371844
Binary 1100110111001101000100 (22 bits)
Octal 0o14671504
Hexadecimal 0x337344

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 137 274 293 411 548 586 822 879 959 1,172 1,644 1,758 1,918 2,051 2,877 3,516 3,836 4,102 5,754 6,153 8,204 11,508 12,306 24,612 40,141 80,282 120,423 160,564 240,846 280,987 481,692 561,974 842,961 1,123,948 1,685,922 3,371,844

Collatz Trajectory (208 steps to reach 1)

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

3,371,844 1,685,922 842,961 2,528,884 1,264,442 632,221 1,896,664 948,332 474,166 237,083 711,250 355,625 1,066,876 533,438 266,719 800,158 400,079 1,200,238 600,119 1,800,358 900,179 2,700,538 1,350,269 4,050,808 2,025,404 1,012,702 506,351 1,519,054 759,527 2,278,582 1,139,291 3,417,874 1,708,937 5,126,812 2,563,406 1,281,703 3,845,110 1,922,555 5,767,666 2,883,833 8,651,500 4,325,750 2,162,875 6,488,626 3,244,313 9,732,940 4,866,470 2,433,235 7,299,706 3,649,853 10,949,560 5,474,780 2,737,390 1,368,695 4,106,086 2,053,043 6,159,130 3,079,565 9,238,696 4,619,348

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