λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,209,726
8,209,726
2 × 7 × 29 × 73 × 277
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 29 × 73 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,811,840
Proper Divisor Sum 6,602,114
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8209723 ← → #8209741

Radix Representation

Decimal 8209726
Binary 11111010100010100111110 (23 bits)
Octal 0o37242476
Hexadecimal 0x7D453E

Divisor Catalog (32)

1 2 7 14 29 58 73 146 203 277 406 511 554 1,022 1,939 2,117 3,878 4,234 8,033 14,819 16,066 20,221 29,638 40,442 56,231 112,462 141,547 283,094 586,409 1,172,818 4,104,863 8,209,726

Collatz Trajectory (168 steps to reach 1)

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

8,209,726 4,104,863 12,314,590 6,157,295 18,471,886 9,235,943 27,707,830 13,853,915 41,561,746 20,780,873 62,342,620 31,171,310 15,585,655 46,756,966 23,378,483 70,135,450 35,067,725 105,203,176 52,601,588 26,300,794 13,150,397 39,451,192 19,725,596 9,862,798 4,931,399 14,794,198 7,397,099 22,191,298 11,095,649 33,286,948 16,643,474 8,321,737 24,965,212 12,482,606 6,241,303 18,723,910 9,361,955 28,085,866 14,042,933 42,128,800 21,064,400 10,532,200 5,266,100 2,633,050 1,316,525 3,949,576 1,974,788 987,394 493,697 1,481,092 740,546 370,273 1,110,820 555,410 277,705 833,116 416,558 208,279 624,838 312,419

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
← Previous Integer #8,209,725 Browse Full Index Next Integer #8,209,727 →