λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,246,745
26,246,745
32 × 5 × 7 × 97 × 859
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 97 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,590,720
Proper Divisor Sum 26,343,975
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26246743 ← → #26246761

Radix Representation

Decimal 26246745
Binary 1100100000111111001011001 (25 bits)
Octal 0o144077131
Hexadecimal 0x1907E59

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 97 105 291 315 485 679 859 873 1,455 2,037 2,577 3,395 4,295 4,365 6,013 6,111 7,731 10,185 12,885 18,039 30,065 30,555 38,655 54,117 83,323 90,195 249,969 270,585 416,615 583,261 749,907 1,249,845 1,749,783 2,916,305 3,749,535 5,249,349 8,748,915 26,246,745

Collatz Trajectory (211 steps to reach 1)

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

26,246,745 78,740,236 39,370,118 19,685,059 59,055,178 29,527,589 88,582,768 44,291,384 22,145,692 11,072,846 5,536,423 16,609,270 8,304,635 24,913,906 12,456,953 37,370,860 18,685,430 9,342,715 28,028,146 14,014,073 42,042,220 21,021,110 10,510,555 31,531,666 15,765,833 47,297,500 23,648,750 11,824,375 35,473,126 17,736,563 53,209,690 26,604,845 79,814,536 39,907,268 19,953,634 9,976,817 29,930,452 14,965,226 7,482,613 22,447,840 11,223,920 5,611,960 2,805,980 1,402,990 701,495 2,104,486 1,052,243 3,156,730 1,578,365 4,735,096 2,367,548 1,183,774 591,887 1,775,662 887,831 2,663,494 1,331,747 3,995,242 1,997,621 5,992,864

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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