2³ × 3² × 7 × 139

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 218,400

Proper Divisor Sum 148,344

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #70051 ← → #70061

Radix Representation

Decimal	70056
Binary	10001000110101000 (17 bits)
Octal	0o210650
Hexadecimal	0x111A8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 139 168 252 278 417 504 556 834 973 1,112 1,251 1,668 1,946 2,502 2,919 3,336 3,892 5,004 5,838 7,784 8,757 10,008 11,676 17,514 23,352 35,028 70,056

Collatz Trajectory (37 steps to reach 1)

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

70,056 35,028 17,514 8,757 26,272 13,136 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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