λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,757,148
56,757,148
22 × 7 × 173 × 11717
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 173 × 11717
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,180,192
Proper Divisor Sum 57,423,044
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #56757137 ← → #56757157

Radix Representation

Decimal 56757148
Binary 11011000100000101110011100 (26 bits)
Octal 0o330405634
Hexadecimal 0x3620B9C

Divisor Catalog (24)

1 2 4 7 14 28 173 346 692 1,211 2,422 4,844 11,717 23,434 46,868 82,019 164,038 328,076 2,027,041 4,054,082 8,108,164 14,189,287 28,378,574 56,757,148

Collatz Trajectory (150 steps to reach 1)

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

56,757,148 28,378,574 14,189,287 42,567,862 21,283,931 63,851,794 31,925,897 95,777,692 47,888,846 23,944,423 71,833,270 35,916,635 107,749,906 53,874,953 161,624,860 80,812,430 40,406,215 121,218,646 60,609,323 181,827,970 90,913,985 272,741,956 136,370,978 68,185,489 204,556,468 102,278,234 51,139,117 153,417,352 76,708,676 38,354,338 19,177,169 57,531,508 28,765,754 14,382,877 43,148,632 21,574,316 10,787,158 5,393,579 16,180,738 8,090,369 24,271,108 12,135,554 6,067,777 18,203,332 9,101,666 4,550,833 13,652,500 6,826,250 3,413,125 10,239,376 5,119,688 2,559,844 1,279,922 639,961 1,919,884 959,942 479,971 1,439,914 719,957 2,159,872

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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