λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,522,885
48,522,885
3 × 5 × 41 × 257 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 41 × 257 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,099,712
Proper Divisor Sum 31,576,827
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #48522883 ← → #48522899

Radix Representation

Decimal 48522885
Binary 10111001000110011010000101 (26 bits)
Octal 0o271063205
Hexadecimal 0x2E46685

Divisor Catalog (32)

1 3 5 15 41 123 205 257 307 615 771 921 1,285 1,535 3,855 4,605 10,537 12,587 31,611 37,761 52,685 62,935 78,899 158,055 188,805 236,697 394,495 1,183,485 3,234,859 9,704,577 16,174,295 48,522,885

Collatz Trajectory (323 steps to reach 1)

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

48,522,885 145,568,656 72,784,328 36,392,164 18,196,082 9,098,041 27,294,124 13,647,062 6,823,531 20,470,594 10,235,297 30,705,892 15,352,946 7,676,473 23,029,420 11,514,710 5,757,355 17,272,066 8,636,033 25,908,100 12,954,050 6,477,025 19,431,076 9,715,538 4,857,769 14,573,308 7,286,654 3,643,327 10,929,982 5,464,991 16,394,974 8,197,487 24,592,462 12,296,231 36,888,694 18,444,347 55,333,042 27,666,521 82,999,564 41,499,782 20,749,891 62,249,674 31,124,837 93,374,512 46,687,256 23,343,628 11,671,814 5,835,907 17,507,722 8,753,861 26,261,584 13,130,792 6,565,396 3,282,698 1,641,349 4,924,048 2,462,024 1,231,012 615,506 307,753

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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