λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,356,858
76,356,858
2 × 3 × 19 × 47 × 14251
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 19 × 47 × 14251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 164,183,040
Proper Divisor Sum 87,826,182
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #76356853 ← → #76356859

Radix Representation

Decimal 76356858
Binary 100100011010001110011111010 (27 bits)
Octal 0o443216372
Hexadecimal 0x48D1CFA

Divisor Catalog (32)

1 2 3 6 19 38 47 57 94 114 141 282 893 1,786 2,679 5,358 14,251 28,502 42,753 85,506 270,769 541,538 669,797 812,307 1,339,594 1,624,614 2,009,391 4,018,782 12,726,143 25,452,286 38,178,429 76,356,858

Collatz Trajectory (228 steps to reach 1)

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

76,356,858 38,178,429 114,535,288 57,267,644 28,633,822 14,316,911 42,950,734 21,475,367 64,426,102 32,213,051 96,639,154 48,319,577 144,958,732 72,479,366 36,239,683 108,719,050 54,359,525 163,078,576 81,539,288 40,769,644 20,384,822 10,192,411 30,577,234 15,288,617 45,865,852 22,932,926 11,466,463 34,399,390 17,199,695 51,599,086 25,799,543 77,398,630 38,699,315 116,097,946 58,048,973 174,146,920 87,073,460 43,536,730 21,768,365 65,305,096 32,652,548 16,326,274 8,163,137 24,489,412 12,244,706 6,122,353 18,367,060 9,183,530 4,591,765 13,775,296 6,887,648 3,443,824 1,721,912 860,956 430,478 215,239 645,718 322,859 968,578 484,289

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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