λ
Ratio Atlas
Atlas › Integer Profiles › Node 89,176,572
89,176,572
22 × 33 × 825709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 825709
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 231,198,800
Proper Divisor Sum 142,022,228
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #89176559 ← → #89176573

Radix Representation

Decimal 89176572
Binary 101010100001011100111111100 (27 bits)
Octal 0o524134774
Hexadecimal 0x550B9FC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 825,709 1,651,418 2,477,127 3,302,836 4,954,254 7,431,381 9,908,508 14,862,762 22,294,143 29,725,524 44,588,286 89,176,572

Collatz Trajectory (192 steps to reach 1)

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

89,176,572 44,588,286 22,294,143 66,882,430 33,441,215 100,323,646 50,161,823 150,485,470 75,242,735 225,728,206 112,864,103 338,592,310 169,296,155 507,888,466 253,944,233 761,832,700 380,916,350 190,458,175 571,374,526 285,687,263 857,061,790 428,530,895 1,285,592,686 642,796,343 1,928,389,030 964,194,515 2,892,583,546 1,446,291,773 4,338,875,320 2,169,437,660 1,084,718,830 542,359,415 1,627,078,246 813,539,123 2,440,617,370 1,220,308,685 3,660,926,056 1,830,463,028 915,231,514 457,615,757 1,372,847,272 686,423,636 343,211,818 171,605,909 514,817,728 257,408,864 128,704,432 64,352,216 32,176,108 16,088,054 8,044,027 24,132,082 12,066,041 36,198,124 18,099,062 9,049,531 27,148,594 13,574,297 40,722,892 20,361,446

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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