λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,115,558
5,115,558
2 × 3 × 7 × 31 × 3929
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 3929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,072,960
Proper Divisor Sum 6,957,402
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5115533 ← → #5115559

Radix Representation

Decimal 5115558
Binary 10011100000111010100110 (23 bits)
Octal 0o23407246
Hexadecimal 0x4E0EA6

Divisor Catalog (32)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1,302 3,929 7,858 11,787 23,574 27,503 55,006 82,509 121,799 165,018 243,598 365,397 730,794 852,593 1,705,186 2,557,779 5,115,558

Collatz Trajectory (131 steps to reach 1)

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

5,115,558 2,557,779 7,673,338 3,836,669 11,510,008 5,755,004 2,877,502 1,438,751 4,316,254 2,158,127 6,474,382 3,237,191 9,711,574 4,855,787 14,567,362 7,283,681 21,851,044 10,925,522 5,462,761 16,388,284 8,194,142 4,097,071 12,291,214 6,145,607 18,436,822 9,218,411 27,655,234 13,827,617 41,482,852 20,741,426 10,370,713 31,112,140 15,556,070 7,778,035 23,334,106 11,667,053 35,001,160 17,500,580 8,750,290 4,375,145 13,125,436 6,562,718 3,281,359 9,844,078 4,922,039 14,766,118 7,383,059 22,149,178 11,074,589 33,223,768 16,611,884 8,305,942 4,152,971 12,458,914 6,229,457 18,688,372 9,344,186 4,672,093 14,016,280 7,008,140

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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