λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,929,342
7,929,342
2 × 32 × 23 × 107 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 107 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,195,840
Proper Divisor Sum 10,266,498
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7929307 ← → #7929343

Radix Representation

Decimal 7929342
Binary 11110001111110111111110 (23 bits)
Octal 0o36176776
Hexadecimal 0x78FDFE

Divisor Catalog (48)

1 2 3 6 9 18 23 46 69 107 138 179 207 214 321 358 414 537 642 963 1,074 1,611 1,926 2,461 3,222 4,117 4,922 7,383 8,234 12,351 14,766 19,153 22,149 24,702 37,053 38,306 44,298 57,459 74,106 114,918 172,377 344,754 440,519 881,038 1,321,557 2,643,114 3,964,671 7,929,342

Collatz Trajectory (173 steps to reach 1)

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

7,929,342 3,964,671 11,894,014 5,947,007 17,841,022 8,920,511 26,761,534 13,380,767 40,142,302 20,071,151 60,213,454 30,106,727 90,320,182 45,160,091 135,480,274 67,740,137 203,220,412 101,610,206 50,805,103 152,415,310 76,207,655 228,622,966 114,311,483 342,934,450 171,467,225 514,401,676 257,200,838 128,600,419 385,801,258 192,900,629 578,701,888 289,350,944 144,675,472 72,337,736 36,168,868 18,084,434 9,042,217 27,126,652 13,563,326 6,781,663 20,344,990 10,172,495 30,517,486 15,258,743 45,776,230 22,888,115 68,664,346 34,332,173 102,996,520 51,498,260 25,749,130 12,874,565 38,623,696 19,311,848 9,655,924 4,827,962 2,413,981 7,241,944 3,620,972 1,810,486

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
← Previous Integer #7,929,341 Browse Full Index Next Integer #7,929,343 →