λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,772,508
5,772,508
22 × 7 × 29 × 7109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 7109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,944,800
Proper Divisor Sum 6,172,292
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5772499 ← → #5772509

Radix Representation

Decimal 5772508
Binary 10110000001010011011100 (23 bits)
Octal 0o26012334
Hexadecimal 0x5814DC

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 7,109 14,218 28,436 49,763 99,526 199,052 206,161 412,322 824,644 1,443,127 2,886,254 5,772,508

Collatz Trajectory (206 steps to reach 1)

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

5,772,508 2,886,254 1,443,127 4,329,382 2,164,691 6,494,074 3,247,037 9,741,112 4,870,556 2,435,278 1,217,639 3,652,918 1,826,459 5,479,378 2,739,689 8,219,068 4,109,534 2,054,767 6,164,302 3,082,151 9,246,454 4,623,227 13,869,682 6,934,841 20,804,524 10,402,262 5,201,131 15,603,394 7,801,697 23,405,092 11,702,546 5,851,273 17,553,820 8,776,910 4,388,455 13,165,366 6,582,683 19,748,050 9,874,025 29,622,076 14,811,038 7,405,519 22,216,558 11,108,279 33,324,838 16,662,419 49,987,258 24,993,629 74,980,888 37,490,444 18,745,222 9,372,611 28,117,834 14,058,917 42,176,752 21,088,376 10,544,188 5,272,094 2,636,047 7,908,142

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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