2⁶ × 3 × 5² × 7 × 29

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 3,779,520

Proper Divisor Sum 2,805,120

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #974387 ← → #974401

Radix Representation

Decimal	974400
Binary	11101101111001000000 (20 bits)
Octal	0o3557100
Hexadecimal	0xEDE40

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 64 70 75 80 84 87 96 100 105 112 116 120 140 145 150 160 168 174 175 192 200 203 210 224 232 240 280 290 300 320 336

Collatz Trajectory (90 steps to reach 1)

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

974,400 487,200 243,600 121,800 60,900 30,450 15,225 45,676 22,838 11,419 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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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