λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,078,624
52,078,624
25 × 13 × 23 × 5443
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 13 × 23 × 5443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,238,592
Proper Divisor Sum 63,159,968
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52078603 ← → #52078661

Radix Representation

Decimal 52078624
Binary 11000110101010100000100000 (26 bits)
Octal 0o306524040
Hexadecimal 0x31AA820

Divisor Catalog (48)

1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1,196 2,392 4,784 5,443 9,568 10,886 21,772 43,544 70,759 87,088 125,189 141,518 174,176 250,378 283,036 500,756 566,072 1,001,512 1,132,144 1,627,457 2,003,024 2,264,288 3,254,914 4,006,048 6,509,828 13,019,656 26,039,312 52,078,624

Collatz Trajectory (212 steps to reach 1)

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

52,078,624 26,039,312 13,019,656 6,509,828 3,254,914 1,627,457 4,882,372 2,441,186 1,220,593 3,661,780 1,830,890 915,445 2,746,336 1,373,168 686,584 343,292 171,646 85,823 257,470 128,735 386,206 193,103 579,310 289,655 868,966 434,483 1,303,450 651,725 1,955,176 977,588 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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