2⁴ × 3³ × 7 × 13² × 19

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 13^2 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 36,307,200

Proper Divisor Sum 26,597,136

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9710053 ← → #9710137

Radix Representation

Decimal	9710064
Binary	100101000010100111110000 (24 bits)
Octal	0o45024760
Hexadecimal	0x9429F0

Divisor Catalog (60 of 240)

1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 36 38 39 42 48 52 54 56 57 63 72 76 78 84 91 104 108 112 114 117 126 133 144 152 156 168 169 171 182 189 208 216 228 234 247 252 266 273 304 312 336

Collatz Trajectory (238 steps to reach 1)

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

9,710,064 4,855,032 2,427,516 1,213,758 606,879 1,820,638 910,319 2,730,958 1,365,479 4,096,438 2,048,219 6,144,658 3,072,329 9,216,988 4,608,494 2,304,247 6,912,742 3,456,371 10,369,114 5,184,557 15,553,672 7,776,836 3,888,418 1,944,209 5,832,628 2,916,314 1,458,157 4,374,472 2,187,236 1,093,618 546,809 1,640,428 820,214 410,107 1,230,322 615,161 1,845,484 922,742 461,371 1,384,114 692,057 2,076,172 1,038,086 519,043 1,557,130 778,565 2,335,696 1,167,848 583,924 291,962 145,981 437,944 218,972 109,486 54,743 164,230 82,115 246,346 123,173 369,520

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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