λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,806,945
7,806,945
3 × 5 × 29 × 131 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 131 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,115,520
Proper Divisor Sum 5,308,575
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7806943 ← → #7806973

Radix Representation

Decimal 7806945
Binary 11101110001111111100001 (23 bits)
Octal 0o35617741
Hexadecimal 0x771FE1

Divisor Catalog (32)

1 3 5 15 29 87 131 137 145 393 411 435 655 685 1,965 2,055 3,799 3,973 11,397 11,919 17,947 18,995 19,865 53,841 56,985 59,595 89,735 269,205 520,463 1,561,389 2,602,315 7,806,945

Collatz Trajectory (230 steps to reach 1)

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

7,806,945 23,420,836 11,710,418 5,855,209 17,565,628 8,782,814 4,391,407 13,174,222 6,587,111 19,761,334 9,880,667 29,642,002 14,821,001 44,463,004 22,231,502 11,115,751 33,347,254 16,673,627 50,020,882 25,010,441 75,031,324 37,515,662 18,757,831 56,273,494 28,136,747 84,410,242 42,205,121 126,615,364 63,307,682 31,653,841 94,961,524 47,480,762 23,740,381 71,221,144 35,610,572 17,805,286 8,902,643 26,707,930 13,353,965 40,061,896 20,030,948 10,015,474 5,007,737 15,023,212 7,511,606 3,755,803 11,267,410 5,633,705 16,901,116 8,450,558 4,225,279 12,675,838 6,337,919 19,013,758 9,506,879 28,520,638 14,260,319 42,780,958 21,390,479 64,171,438

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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