λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,447,352
67,447,352
23 × 7 × 373 × 3229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 373 × 3229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 144,962,400
Proper Divisor Sum 77,515,048
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #67447307 ← → #67447361

Radix Representation

Decimal 67447352
Binary 100000001010010101000111000 (27 bits)
Octal 0o401225070
Hexadecimal 0x4052A38

Divisor Catalog (32)

1 2 4 7 8 14 28 56 373 746 1,492 2,611 2,984 3,229 5,222 6,458 10,444 12,916 20,888 22,603 25,832 45,206 90,412 180,824 1,204,417 2,408,834 4,817,668 8,430,919 9,635,336 16,861,838 33,723,676 67,447,352

Collatz Trajectory (339 steps to reach 1)

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

67,447,352 33,723,676 16,861,838 8,430,919 25,292,758 12,646,379 37,939,138 18,969,569 56,908,708 28,454,354 14,227,177 42,681,532 21,340,766 10,670,383 32,011,150 16,005,575 48,016,726 24,008,363 72,025,090 36,012,545 108,037,636 54,018,818 27,009,409 81,028,228 40,514,114 20,257,057 60,771,172 30,385,586 15,192,793 45,578,380 22,789,190 11,394,595 34,183,786 17,091,893 51,275,680 25,637,840 12,818,920 6,409,460 3,204,730 1,602,365 4,807,096 2,403,548 1,201,774 600,887 1,802,662 901,331 2,703,994 1,351,997 4,055,992 2,027,996 1,013,998 506,999 1,520,998 760,499 2,281,498 1,140,749 3,422,248 1,711,124 855,562 427,781

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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