2² × 3² × 5² × 7 × 53 × 173

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 53 × 173

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 212,048,928

Proper Divisor Sum 154,284,228

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57764689 ← → #57764701

Radix Representation

Decimal	57764700
Binary	11011100010110101101011100 (26 bits)
Octal	0o334265534
Hexadecimal	0x3716B5C

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 53 60 63 70 75 84 90 100 105 106 126 140 150 159 173 175 180 210 212 225 252 265 300 315 318 346 350 371 420 450 477 519 525 530 630 636 692

Collatz Trajectory (269 steps to reach 1)

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

57,764,700 28,882,350 14,441,175 43,323,526 21,661,763 64,985,290 32,492,645 97,477,936 48,738,968 24,369,484 12,184,742 6,092,371 18,277,114 9,138,557 27,415,672 13,707,836 6,853,918 3,426,959 10,280,878 5,140,439 15,421,318 7,710,659 23,131,978 11,565,989 34,697,968 17,348,984 8,674,492 4,337,246 2,168,623 6,505,870 3,252,935 9,758,806 4,879,403 14,638,210 7,319,105 21,957,316 10,978,658 5,489,329 16,467,988 8,233,994 4,116,997 12,350,992 6,175,496 3,087,748 1,543,874 771,937 2,315,812 1,157,906 578,953 1,736,860 868,430 434,215 1,302,646 651,323 1,953,970 976,985 2,930,956 1,465,478 732,739 2,198,218

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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