2⁴ × 3³ × 17 × 29

Prime Factor Structure

Factorization String 2^4 × 3^3 × 17 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 669,600

Proper Divisor Sum 456,624

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #212969 ← → #212981

Radix Representation

Decimal	212976
Binary	110011111111110000 (18 bits)
Octal	0o637760
Hexadecimal	0x33FF0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 17 18 24 27 29 34 36 48 51 54 58 68 72 87 102 108 116 136 144 153 174 204 216 232 261 272 306 348 408 432 459 464 493 522 612 696 783 816 918 986 1,044 1,224 1,392 1,479 1,566 1,836 1,972 2,088 2,448 2,958 3,132

Collatz Trajectory (173 steps to reach 1)

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

212,976 106,488 53,244 26,622 13,311 39,934 19,967 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640

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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