λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,200,420
7,200,420
22 × 3 × 5 × 41 × 2927
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 41 × 2927
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,659,968
Proper Divisor Sum 13,459,548
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #7200409 ← → #7200443

Radix Representation

Decimal 7200420
Binary 11011011101111010100100 (23 bits)
Octal 0o33357244
Hexadecimal 0x6DDEA4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1,230 2,460 2,927 5,854 8,781 11,708 14,635 17,562 29,270 35,124 43,905 58,540 87,810 120,007 175,620 240,014 360,021 480,028 600,035 720,042 1,200,070 1,440,084 1,800,105 2,400,140 3,600,210 7,200,420

Collatz Trajectory (204 steps to reach 1)

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

7,200,420 3,600,210 1,800,105 5,400,316 2,700,158 1,350,079 4,050,238 2,025,119 6,075,358 3,037,679 9,113,038 4,556,519 13,669,558 6,834,779 20,504,338 10,252,169 30,756,508 15,378,254 7,689,127 23,067,382 11,533,691 34,601,074 17,300,537 51,901,612 25,950,806 12,975,403 38,926,210 19,463,105 58,389,316 29,194,658 14,597,329 43,791,988 21,895,994 10,947,997 32,843,992 16,421,996 8,210,998 4,105,499 12,316,498 6,158,249 18,474,748 9,237,374 4,618,687 13,856,062 6,928,031 20,784,094 10,392,047 31,176,142 15,588,071 46,764,214 23,382,107 70,146,322 35,073,161 105,219,484 52,609,742 26,304,871 78,914,614 39,457,307 118,371,922 59,185,961

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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