λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,802,175
4,802,175
32 × 52 × 7 × 3049
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,833,200
Proper Divisor Sum 5,031,025
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4802153 ← → #4802191

Radix Representation

Decimal 4802175
Binary 10010010100011001111111 (23 bits)
Octal 0o22243177
Hexadecimal 0x49467F

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1,575 3,049 9,147 15,245 21,343 27,441 45,735 64,029 76,225 106,715 137,205 192,087 228,675 320,145 533,575 686,025 960,435 1,600,725 4,802,175

Collatz Trajectory (149 steps to reach 1)

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

4,802,175 14,406,526 7,203,263 21,609,790 10,804,895 32,414,686 16,207,343 48,622,030 24,311,015 72,933,046 36,466,523 109,399,570 54,699,785 164,099,356 82,049,678 41,024,839 123,074,518 61,537,259 184,611,778 92,305,889 276,917,668 138,458,834 69,229,417 207,688,252 103,844,126 51,922,063 155,766,190 77,883,095 233,649,286 116,824,643 350,473,930 175,236,965 525,710,896 262,855,448 131,427,724 65,713,862 32,856,931 98,570,794 49,285,397 147,856,192 73,928,096 36,964,048 18,482,024 9,241,012 4,620,506 2,310,253 6,930,760 3,465,380 1,732,690 866,345 2,599,036 1,299,518 649,759 1,949,278 974,639 2,923,918 1,461,959 4,385,878 2,192,939 6,578,818

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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