λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,705,342
6,705,342
2 × 38 × 7 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^8 × 7 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,477,616
Proper Divisor Sum 10,772,274
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6705341 ← → #6705359

Radix Representation

Decimal 6705342
Binary 11001100101000010111110 (23 bits)
Octal 0o31450276
Hexadecimal 0x6650BE

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 243 378 438 486 511 567 657 729 1,022 1,134 1,314 1,458 1,533 1,701 1,971 2,187 3,066 3,402 3,942 4,374 4,599 5,103 5,913 6,561 9,198 10,206 11,826 13,122 13,797 15,309 17,739 27,594 30,618 35,478 41,391 45,927 53,217 82,782 91,854 106,434

Collatz Trajectory (121 steps to reach 1)

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

6,705,342 3,352,671 10,058,014 5,029,007 15,087,022 7,543,511 22,630,534 11,315,267 33,945,802 16,972,901 50,918,704 25,459,352 12,729,676 6,364,838 3,182,419 9,547,258 4,773,629 14,320,888 7,160,444 3,580,222 1,790,111 5,370,334 2,685,167 8,055,502 4,027,751 12,083,254 6,041,627 18,124,882 9,062,441 27,187,324 13,593,662 6,796,831 20,390,494 10,195,247 30,585,742 15,292,871 45,878,614 22,939,307 68,817,922 34,408,961 103,226,884 51,613,442 25,806,721 77,420,164 38,710,082 19,355,041 58,065,124 29,032,562 14,516,281 43,548,844 21,774,422 10,887,211 32,661,634 16,330,817 48,992,452 24,496,226 12,248,113 36,744,340 18,372,170 9,186,085

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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