λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,200,770
4,200,770
2 × 5 × 72 × 8573
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 8573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,796,924
Proper Divisor Sum 4,596,154
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4200769 ← → #4200797

Radix Representation

Decimal 4200770
Binary 10000000001100101000010 (23 bits)
Octal 0o20014502
Hexadecimal 0x401942

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 8,573 17,146 42,865 60,011 85,730 120,022 300,055 420,077 600,110 840,154 2,100,385 4,200,770

Collatz Trajectory (185 steps to reach 1)

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

4,200,770 2,100,385 6,301,156 3,150,578 1,575,289 4,725,868 2,362,934 1,181,467 3,544,402 1,772,201 5,316,604 2,658,302 1,329,151 3,987,454 1,993,727 5,981,182 2,990,591 8,971,774 4,485,887 13,457,662 6,728,831 20,186,494 10,093,247 30,279,742 15,139,871 45,419,614 22,709,807 68,129,422 34,064,711 102,194,134 51,097,067 153,291,202 76,645,601 229,936,804 114,968,402 57,484,201 172,452,604 86,226,302 43,113,151 129,339,454 64,669,727 194,009,182 97,004,591 291,013,774 145,506,887 436,520,662 218,260,331 654,780,994 327,390,497 982,171,492 491,085,746 245,542,873 736,628,620 368,314,310 184,157,155 552,471,466 276,235,733 828,707,200 414,353,600 207,176,800

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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