λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,542,579
67,542,579
36 × 13 × 7127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 13 × 7127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 109,072,656
Proper Divisor Sum 41,530,077
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #67542569 ← → #67542589

Radix Representation

Decimal 67542579
Binary 100000001101001111000110011 (27 bits)
Octal 0o401517063
Hexadecimal 0x4069E33

Divisor Catalog (28)

1 3 9 13 27 39 81 117 243 351 729 1,053 3,159 7,127 9,477 21,381 64,143 92,651 192,429 277,953 577,287 833,859 1,731,861 2,501,577 5,195,583 7,504,731 22,514,193 67,542,579

Collatz Trajectory (308 steps to reach 1)

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

67,542,579 202,627,738 101,313,869 303,941,608 151,970,804 75,985,402 37,992,701 113,978,104 56,989,052 28,494,526 14,247,263 42,741,790 21,370,895 64,112,686 32,056,343 96,169,030 48,084,515 144,253,546 72,126,773 216,380,320 108,190,160 54,095,080 27,047,540 13,523,770 6,761,885 20,285,656 10,142,828 5,071,414 2,535,707 7,607,122 3,803,561 11,410,684 5,705,342 2,852,671 8,558,014 4,279,007 12,837,022 6,418,511 19,255,534 9,627,767 28,883,302 14,441,651 43,324,954 21,662,477 64,987,432 32,493,716 16,246,858 8,123,429 24,370,288 12,185,144 6,092,572 3,046,286 1,523,143 4,569,430 2,284,715 6,854,146 3,427,073 10,281,220 5,140,610 2,570,305

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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