λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,496,478
4,496,478
2 × 3 × 7 × 151 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 151 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,360,320
Proper Divisor Sum 5,863,842
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4496473 ← → #4496491

Radix Representation

Decimal 4496478
Binary 10001001001110001011110 (23 bits)
Octal 0o21116136
Hexadecimal 0x449C5E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 151 302 453 709 906 1,057 1,418 2,114 2,127 3,171 4,254 4,963 6,342 9,926 14,889 29,778 107,059 214,118 321,177 642,354 749,413 1,498,826 2,248,239 4,496,478

Collatz Trajectory (247 steps to reach 1)

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

4,496,478 2,248,239 6,744,718 3,372,359 10,117,078 5,058,539 15,175,618 7,587,809 22,763,428 11,381,714 5,690,857 17,072,572 8,536,286 4,268,143 12,804,430 6,402,215 19,206,646 9,603,323 28,809,970 14,404,985 43,214,956 21,607,478 10,803,739 32,411,218 16,205,609 48,616,828 24,308,414 12,154,207 36,462,622 18,231,311 54,693,934 27,346,967 82,040,902 41,020,451 123,061,354 61,530,677 184,592,032 92,296,016 46,148,008 23,074,004 11,537,002 5,768,501 17,305,504 8,652,752 4,326,376 2,163,188 1,081,594 540,797 1,622,392 811,196 405,598 202,799 608,398 304,199 912,598 456,299 1,368,898 684,449 2,053,348 1,026,674

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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