2² × 3² × 5³ × 7 × 31

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 7 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,634,176

Proper Divisor Sum 2,657,676

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #976489 ← → #976501

Radix Representation

Decimal	976500
Binary	11101110011001110100 (20 bits)
Octal	0o3563164
Hexadecimal	0xEE674

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 31 35 36 42 45 50 60 62 63 70 75 84 90 93 100 105 124 125 126 140 150 155 175 180 186 210 217 225 250 252 279 300 310 315 350 372 375 420 434 450 465 500

Collatz Trajectory (183 steps to reach 1)

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

976,500 488,250 244,125 732,376 366,188 183,094 91,547 274,642 137,321 411,964 205,982 102,991 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

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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