λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,233,332
2,233,332
22 × 34 × 61 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 61 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,986,596
Proper Divisor Sum 3,753,264
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2233331 ← → #2233337

Radix Representation

Decimal 2233332
Binary 1000100001001111110100 (22 bits)
Octal 0o10411764
Hexadecimal 0x2213F4

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 61 81 108 113 122 162 183 226 244 324 339 366 452 549 678 732 1,017 1,098 1,356 1,647 2,034 2,196 3,051 3,294 4,068 4,941 6,102 6,588 6,893 9,153 9,882 12,204 13,786 18,306 19,764 20,679 27,572 36,612 41,358 62,037 82,716 124,074 186,111 248,148 372,222 558,333 744,444 1,116,666 2,233,332

Collatz Trajectory (179 steps to reach 1)

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

2,233,332 1,116,666 558,333 1,675,000 837,500 418,750 209,375 628,126 314,063 942,190 471,095 1,413,286 706,643 2,119,930 1,059,965 3,179,896 1,589,948 794,974 397,487 1,192,462 596,231 1,788,694 894,347 2,683,042 1,341,521 4,024,564 2,012,282 1,006,141 3,018,424 1,509,212 754,606 377,303 1,131,910 565,955 1,697,866 848,933 2,546,800 1,273,400 636,700 318,350 159,175 477,526 238,763 716,290 358,145 1,074,436 537,218 268,609 805,828 402,914 201,457 604,372 302,186 151,093 453,280 226,640 113,320 56,660 28,330 14,165

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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