λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,977,337
3,977,337
3 × 7 × 13 × 17 × 857
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,918,912
Proper Divisor Sum 2,941,575
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3977317 ← → #3977339

Radix Representation

Decimal 3977337
Binary 1111001011000001111001 (22 bits)
Octal 0o17130171
Hexadecimal 0x3CB079

Divisor Catalog (32)

1 3 7 13 17 21 39 51 91 119 221 273 357 663 857 1,547 2,571 4,641 5,999 11,141 14,569 17,997 33,423 43,707 77,987 101,983 189,397 233,961 305,949 568,191 1,325,779 3,977,337

Collatz Trajectory (291 steps to reach 1)

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

3,977,337 11,932,012 5,966,006 2,983,003 8,949,010 4,474,505 13,423,516 6,711,758 3,355,879 10,067,638 5,033,819 15,101,458 7,550,729 22,652,188 11,326,094 5,663,047 16,989,142 8,494,571 25,483,714 12,741,857 38,225,572 19,112,786 9,556,393 28,669,180 14,334,590 7,167,295 21,501,886 10,750,943 32,252,830 16,126,415 48,379,246 24,189,623 72,568,870 36,284,435 108,853,306 54,426,653 163,279,960 81,639,980 40,819,990 20,409,995 61,229,986 30,614,993 91,844,980 45,922,490 22,961,245 68,883,736 34,441,868 17,220,934 8,610,467 25,831,402 12,915,701 38,747,104 19,373,552 9,686,776 4,843,388 2,421,694 1,210,847 3,632,542 1,816,271 5,448,814

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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