λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,917,116
8,917,116
22 × 3 × 132 × 4397
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 4397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,535,352
Proper Divisor Sum 13,618,236
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8917109 ← → #8917127

Radix Representation

Decimal 8917116
Binary 100010000001000001111100 (24 bits)
Octal 0o42010174
Hexadecimal 0x88107C

Divisor Catalog (36)

1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1,014 2,028 4,397 8,794 13,191 17,588 26,382 52,764 57,161 114,322 171,483 228,644 342,966 685,932 743,093 1,486,186 2,229,279 2,972,372 4,458,558 8,917,116

Collatz Trajectory (287 steps to reach 1)

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

8,917,116 4,458,558 2,229,279 6,687,838 3,343,919 10,031,758 5,015,879 15,047,638 7,523,819 22,571,458 11,285,729 33,857,188 16,928,594 8,464,297 25,392,892 12,696,446 6,348,223 19,044,670 9,522,335 28,567,006 14,283,503 42,850,510 21,425,255 64,275,766 32,137,883 96,413,650 48,206,825 144,620,476 72,310,238 36,155,119 108,465,358 54,232,679 162,698,038 81,349,019 244,047,058 122,023,529 366,070,588 183,035,294 91,517,647 274,552,942 137,276,471 411,829,414 205,914,707 617,744,122 308,872,061 926,616,184 463,308,092 231,654,046 115,827,023 347,481,070 173,740,535 521,221,606 260,610,803 781,832,410 390,916,205 1,172,748,616 586,374,308 293,187,154 146,593,577 439,780,732

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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