λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,378,680
8,378,680
23 × 5 × 29 × 31 × 233
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 31 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,217,600
Proper Divisor Sum 11,838,920
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8378659 ← → #8378681

Radix Representation

Decimal 8378680
Binary 11111111101100100111000 (23 bits)
Octal 0o37754470
Hexadecimal 0x7FD938

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 233 248 290 310 466 580 620 899 932 1,160 1,165 1,240 1,798 1,864 2,330 3,596 4,495 4,660 6,757 7,192 7,223 8,990 9,320 13,514 14,446 17,980 27,028 28,892 33,785 35,960 36,115 54,056 57,784 67,570 72,230 135,140 144,460 209,467 270,280 288,920 418,934 837,868 1,047,335

Collatz Trajectory (142 steps to reach 1)

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

8,378,680 4,189,340 2,094,670 1,047,335 3,142,006 1,571,003 4,713,010 2,356,505 7,069,516 3,534,758 1,767,379 5,302,138 2,651,069 7,953,208 3,976,604 1,988,302 994,151 2,982,454 1,491,227 4,473,682 2,236,841 6,710,524 3,355,262 1,677,631 5,032,894 2,516,447 7,549,342 3,774,671 11,324,014 5,662,007 16,986,022 8,493,011 25,479,034 12,739,517 38,218,552 19,109,276 9,554,638 4,777,319 14,331,958 7,165,979 21,497,938 10,748,969 32,246,908 16,123,454 8,061,727 24,185,182 12,092,591 36,277,774 18,138,887 54,416,662 27,208,331 81,624,994 40,812,497 122,437,492 61,218,746 30,609,373 91,828,120 45,914,060 22,957,030 11,478,515

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #8,378,679 Browse Full Index Next Integer #8,378,681 →