λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,037,540
76,037,540
22 × 5 × 23 × 47 × 3517
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 47 × 3517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 170,214,912
Proper Divisor Sum 94,177,372
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #76037527 ← → #76037543

Radix Representation

Decimal 76037540
Binary 100100010000011110110100100 (27 bits)
Octal 0o442036644
Hexadecimal 0x4883DA4

Divisor Catalog (48)

1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1,081 2,162 3,517 4,324 5,405 7,034 10,810 14,068 17,585 21,620 35,170 70,340 80,891 161,782 165,299 323,564 330,598 404,455 661,196 808,910 826,495 1,617,820 1,652,990 3,305,980 3,801,877 7,603,754 15,207,508 19,009,385 38,018,770 76,037,540

Collatz Trajectory (127 steps to reach 1)

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

76,037,540 38,018,770 19,009,385 57,028,156 28,514,078 14,257,039 42,771,118 21,385,559 64,156,678 32,078,339 96,235,018 48,117,509 144,352,528 72,176,264 36,088,132 18,044,066 9,022,033 27,066,100 13,533,050 6,766,525 20,299,576 10,149,788 5,074,894 2,537,447 7,612,342 3,806,171 11,418,514 5,709,257 17,127,772 8,563,886 4,281,943 12,845,830 6,422,915 19,268,746 9,634,373 28,903,120 14,451,560 7,225,780 3,612,890 1,806,445 5,419,336 2,709,668 1,354,834 677,417 2,032,252 1,016,126 508,063 1,524,190 762,095 2,286,286 1,143,143 3,429,430 1,714,715 5,144,146 2,572,073 7,716,220 3,858,110 1,929,055 5,787,166 2,893,583

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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