λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,453,047
55,453,047
3 × 13 × 37 × 83 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 37 × 83 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,940,928
Proper Divisor Sum 27,487,881
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #55453043 ← → #55453051

Radix Representation

Decimal 55453047
Binary 11010011100010010101110111 (26 bits)
Octal 0o323422567
Hexadecimal 0x34E2577

Divisor Catalog (32)

1 3 13 37 39 83 111 249 463 481 1,079 1,389 1,443 3,071 3,237 6,019 9,213 17,131 18,057 38,429 39,923 51,393 115,287 119,769 222,703 499,577 668,109 1,421,873 1,498,731 4,265,619 18,484,349 55,453,047

Collatz Trajectory (225 steps to reach 1)

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

55,453,047 166,359,142 83,179,571 249,538,714 124,769,357 374,308,072 187,154,036 93,577,018 46,788,509 140,365,528 70,182,764 35,091,382 17,545,691 52,637,074 26,318,537 78,955,612 39,477,806 19,738,903 59,216,710 29,608,355 88,825,066 44,412,533 133,237,600 66,618,800 33,309,400 16,654,700 8,327,350 4,163,675 12,491,026 6,245,513 18,736,540 9,368,270 4,684,135 14,052,406 7,026,203 21,078,610 10,539,305 31,617,916 15,808,958 7,904,479 23,713,438 11,856,719 35,570,158 17,785,079 53,355,238 26,677,619 80,032,858 40,016,429 120,049,288 60,024,644 30,012,322 15,006,161 45,018,484 22,509,242 11,254,621 33,763,864 16,881,932 8,440,966 4,220,483 12,661,450

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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