λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,092,528
10,092,528
24 × 32 × 109 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 109 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 28,548,520
Proper Divisor Sum 18,455,992
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10092503 ← → #10092529

Radix Representation

Decimal 10092528
Binary 100110011111111111110000 (24 bits)
Octal 0o46377760
Hexadecimal 0x99FFF0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 643 654 872 981 1,286 1,308 1,744 1,929 1,962 2,572 2,616 3,858 3,924 5,144 5,232 5,787 7,716 7,848 10,288 11,574 15,432 15,696 23,148 30,864 46,296 70,087 92,592 140,174 210,261 280,348 420,522 560,696 630,783 841,044 1,121,392 1,261,566 1,682,088 2,523,132 3,364,176 5,046,264 10,092,528

Collatz Trajectory (145 steps to reach 1)

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

10,092,528 5,046,264 2,523,132 1,261,566 630,783 1,892,350 946,175 2,838,526 1,419,263 4,257,790 2,128,895 6,386,686 3,193,343 9,580,030 4,790,015 14,370,046 7,185,023 21,555,070 10,777,535 32,332,606 16,166,303 48,498,910 24,249,455 72,748,366 36,374,183 109,122,550 54,561,275 163,683,826 81,841,913 245,525,740 122,762,870 61,381,435 184,144,306 92,072,153 276,216,460 138,108,230 69,054,115 207,162,346 103,581,173 310,743,520 155,371,760 77,685,880 38,842,940 19,421,470 9,710,735 29,132,206 14,566,103 43,698,310 21,849,155 65,547,466 32,773,733 98,321,200 49,160,600 24,580,300 12,290,150 6,145,075 18,435,226 9,217,613 27,652,840 13,826,420

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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