2⁴ × 5 × 7 × 13 × 23

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 499,968

Proper Divisor Sum 332,528

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #167437 ← → #167441

Radix Representation

Decimal	167440
Binary	101000111000010000 (18 bits)
Octal	0o507020
Hexadecimal	0x28E10

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 23 26 28 35 40 46 52 56 65 70 80 91 92 104 112 115 130 140 161 182 184 208 230 260 280 299 322 364 368 455 460 520 560 598 644 728 805 910 920 1,040 1,196 1,288 1,456 1,495 1,610 1,820 1,840 2,093 2,392

Collatz Trajectory (134 steps to reach 1)

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

167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063

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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