λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,772,038
6,772,038
2 × 3 × 7 × 13 × 79 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 79 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,988,160
Proper Divisor Sum 10,216,122
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6772033 ← → #6772039

Radix Representation

Decimal 6772038
Binary 11001110101010101000110 (23 bits)
Octal 0o31652506
Hexadecimal 0x675546

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 26 39 42 78 79 91 157 158 182 237 273 314 471 474 546 553 942 1,027 1,099 1,106 1,659 2,041 2,054 2,198 3,081 3,297 3,318 4,082 6,123 6,162 6,594 7,189 12,246 12,403 14,287 14,378 21,567 24,806 28,574 37,209 42,861 43,134 74,418 85,722 86,821 161,239 173,642 260,463 322,478 483,717 520,926 967,434

Collatz Trajectory (147 steps to reach 1)

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

6,772,038 3,386,019 10,158,058 5,079,029 15,237,088 7,618,544 3,809,272 1,904,636 952,318 476,159 1,428,478 714,239 2,142,718 1,071,359 3,214,078 1,607,039 4,821,118 2,410,559 7,231,678 3,615,839 10,847,518 5,423,759 16,271,278 8,135,639 24,406,918 12,203,459 36,610,378 18,305,189 54,915,568 27,457,784 13,728,892 6,864,446 3,432,223 10,296,670 5,148,335 15,445,006 7,722,503 23,167,510 11,583,755 34,751,266 17,375,633 52,126,900 26,063,450 13,031,725 39,095,176 19,547,588 9,773,794 4,886,897 14,660,692 7,330,346 3,665,173 10,995,520 5,497,760 2,748,880 1,374,440 687,220 343,610 171,805 515,416 257,708

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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