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Ratio Atlas
Atlas › Integer Profiles › Node 4,773,535
4,773,535
5 × 13 × 23 × 31 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 23 × 31 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,709,248
Proper Divisor Sum 1,935,713
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4773533 ← → #4773553

Radix Representation

Decimal 4773535
Binary 10010001101011010011111 (23 bits)
Octal 0o22153237
Hexadecimal 0x48D69F

Divisor Catalog (32)

1 5 13 23 31 65 103 115 155 299 403 515 713 1,339 1,495 2,015 2,369 3,193 3,565 6,695 9,269 11,845 15,965 30,797 41,509 46,345 73,439 153,985 207,545 367,195 954,707 4,773,535

Collatz Trajectory (206 steps to reach 1)

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

4,773,535 14,320,606 7,160,303 21,480,910 10,740,455 32,221,366 16,110,683 48,332,050 24,166,025 72,498,076 36,249,038 18,124,519 54,373,558 27,186,779 81,560,338 40,780,169 122,340,508 61,170,254 30,585,127 91,755,382 45,877,691 137,633,074 68,816,537 206,449,612 103,224,806 51,612,403 154,837,210 77,418,605 232,255,816 116,127,908 58,063,954 29,031,977 87,095,932 43,547,966 21,773,983 65,321,950 32,660,975 97,982,926 48,991,463 146,974,390 73,487,195 220,461,586 110,230,793 330,692,380 165,346,190 82,673,095 248,019,286 124,009,643 372,028,930 186,014,465 558,043,396 279,021,698 139,510,849 418,532,548 209,266,274 104,633,137 313,899,412 156,949,706 78,474,853 235,424,560

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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