λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,297,565
5,297,565
3 × 5 × 7 × 13 × 3881
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 3881
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,434,816
Proper Divisor Sum 5,137,251
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5297563 ← → #5297587

Radix Representation

Decimal 5297565
Binary 10100001101010110011101 (23 bits)
Octal 0o24152635
Hexadecimal 0x50D59D

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 3,881 11,643 19,405 27,167 50,453 58,215 81,501 135,835 151,359 252,265 353,171 407,505 756,795 1,059,513 1,765,855 5,297,565

Collatz Trajectory (250 steps to reach 1)

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

5,297,565 15,892,696 7,946,348 3,973,174 1,986,587 5,959,762 2,979,881 8,939,644 4,469,822 2,234,911 6,704,734 3,352,367 10,057,102 5,028,551 15,085,654 7,542,827 22,628,482 11,314,241 33,942,724 16,971,362 8,485,681 25,457,044 12,728,522 6,364,261 19,092,784 9,546,392 4,773,196 2,386,598 1,193,299 3,579,898 1,789,949 5,369,848 2,684,924 1,342,462 671,231 2,013,694 1,006,847 3,020,542 1,510,271 4,530,814 2,265,407 6,796,222 3,398,111 10,194,334 5,097,167 15,291,502 7,645,751 22,937,254 11,468,627 34,405,882 17,202,941 51,608,824 25,804,412 12,902,206 6,451,103 19,353,310 9,676,655 29,029,966 14,514,983 43,544,950

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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