λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,775,950
7,775,950
2 × 52 × 7 × 13 × 1709
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 1709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,811,360
Proper Divisor Sum 10,035,410
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7775903 ← → #7775969

Radix Representation

Decimal 7775950
Binary 11101101010011011001110 (23 bits)
Octal 0o35523316
Hexadecimal 0x76A6CE

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 1,709 2,275 3,418 4,550 8,545 11,963 17,090 22,217 23,926 42,725 44,434 59,815 85,450 111,085 119,630 155,519 222,170 299,075 311,038 555,425 598,150 777,595 1,110,850 1,555,190 3,887,975 7,775,950

Collatz Trajectory (248 steps to reach 1)

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

7,775,950 3,887,975 11,663,926 5,831,963 17,495,890 8,747,945 26,243,836 13,121,918 6,560,959 19,682,878 9,841,439 29,524,318 14,762,159 44,286,478 22,143,239 66,429,718 33,214,859 99,644,578 49,822,289 149,466,868 74,733,434 37,366,717 112,100,152 56,050,076 28,025,038 14,012,519 42,037,558 21,018,779 63,056,338 31,528,169 94,584,508 47,292,254 23,646,127 70,938,382 35,469,191 106,407,574 53,203,787 159,611,362 79,805,681 239,417,044 119,708,522 59,854,261 179,562,784 89,781,392 44,890,696 22,445,348 11,222,674 5,611,337 16,834,012 8,417,006 4,208,503 12,625,510 6,312,755 18,938,266 9,469,133 28,407,400 14,203,700 7,101,850 3,550,925 10,652,776

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
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