λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,970,942
80,970,942
2 × 3 × 132 × 47 × 1699
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 47 × 1699
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 179,193,600
Proper Divisor Sum 98,222,658
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80970937 ← → #80970947

Radix Representation

Decimal 80970942
Binary 100110100111000010010111110 (27 bits)
Octal 0o464702276
Hexadecimal 0x4D384BE

Divisor Catalog (48)

1 2 3 6 13 26 39 47 78 94 141 169 282 338 507 611 1,014 1,222 1,699 1,833 3,398 3,666 5,097 7,943 10,194 15,886 22,087 23,829 44,174 47,658 66,261 79,853 132,522 159,706 239,559 287,131 479,118 574,262 861,393 1,038,089 1,722,786 2,076,178 3,114,267 6,228,534 13,495,157 26,990,314 40,485,471 80,970,942

Collatz Trajectory (254 steps to reach 1)

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

80,970,942 40,485,471 121,456,414 60,728,207 182,184,622 91,092,311 273,276,934 136,638,467 409,915,402 204,957,701 614,873,104 307,436,552 153,718,276 76,859,138 38,429,569 115,288,708 57,644,354 28,822,177 86,466,532 43,233,266 21,616,633 64,849,900 32,424,950 16,212,475 48,637,426 24,318,713 72,956,140 36,478,070 18,239,035 54,717,106 27,358,553 82,075,660 41,037,830 20,518,915 61,556,746 30,778,373 92,335,120 46,167,560 23,083,780 11,541,890 5,770,945 17,312,836 8,656,418 4,328,209 12,984,628 6,492,314 3,246,157 9,738,472 4,869,236 2,434,618 1,217,309 3,651,928 1,825,964 912,982 456,491 1,369,474 684,737 2,054,212 1,027,106 513,553

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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