λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,000,775
5,000,775
3 × 52 × 13 × 23 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 23 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,332,736
Proper Divisor Sum 4,331,961
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5000761 ← → #5000777

Radix Representation

Decimal 5000775
Binary 10011000100111001000111 (23 bits)
Octal 0o23047107
Hexadecimal 0x4C4E47

Divisor Catalog (48)

1 3 5 13 15 23 25 39 65 69 75 115 195 223 299 325 345 575 669 897 975 1,115 1,495 1,725 2,899 3,345 4,485 5,129 5,575 7,475 8,697 14,495 15,387 16,725 22,425 25,645 43,485 66,677 72,475 76,935 128,225 200,031 217,425 333,385 384,675 1,000,155 1,666,925 5,000,775

Collatz Trajectory (312 steps to reach 1)

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

5,000,775 15,002,326 7,501,163 22,503,490 11,251,745 33,755,236 16,877,618 8,438,809 25,316,428 12,658,214 6,329,107 18,987,322 9,493,661 28,480,984 14,240,492 7,120,246 3,560,123 10,680,370 5,340,185 16,020,556 8,010,278 4,005,139 12,015,418 6,007,709 18,023,128 9,011,564 4,505,782 2,252,891 6,758,674 3,379,337 10,138,012 5,069,006 2,534,503 7,603,510 3,801,755 11,405,266 5,702,633 17,107,900 8,553,950 4,276,975 12,830,926 6,415,463 19,246,390 9,623,195 28,869,586 14,434,793 43,304,380 21,652,190 10,826,095 32,478,286 16,239,143 48,717,430 24,358,715 73,076,146 36,538,073 109,614,220 54,807,110 27,403,555 82,210,666 41,105,333

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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