λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,024,684
8,024,684
22 × 41 × 167 × 293
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 41 × 167 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,521,248
Proper Divisor Sum 6,496,564
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8024683 ← → #8024701

Radix Representation

Decimal 8024684
Binary 11110100111001001101100 (23 bits)
Octal 0o36471154
Hexadecimal 0x7A726C

Divisor Catalog (24)

1 2 4 41 82 164 167 293 334 586 668 1,172 6,847 12,013 13,694 24,026 27,388 48,052 48,931 97,862 195,724 2,006,171 4,012,342 8,024,684

Collatz Trajectory (230 steps to reach 1)

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

8,024,684 4,012,342 2,006,171 6,018,514 3,009,257 9,027,772 4,513,886 2,256,943 6,770,830 3,385,415 10,156,246 5,078,123 15,234,370 7,617,185 22,851,556 11,425,778 5,712,889 17,138,668 8,569,334 4,284,667 12,854,002 6,427,001 19,281,004 9,640,502 4,820,251 14,460,754 7,230,377 21,691,132 10,845,566 5,422,783 16,268,350 8,134,175 24,402,526 12,201,263 36,603,790 18,301,895 54,905,686 27,452,843 82,358,530 41,179,265 123,537,796 61,768,898 30,884,449 92,653,348 46,326,674 23,163,337 69,490,012 34,745,006 17,372,503 52,117,510 26,058,755 78,176,266 39,088,133 117,264,400 58,632,200 29,316,100 14,658,050 7,329,025 21,987,076 10,993,538

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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