λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,204,158
7,204,158
2 × 32 × 13 × 17 × 1811
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17 × 1811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,808,336
Proper Divisor Sum 10,604,178
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7204147 ← → #7204163

Radix Representation

Decimal 7204158
Binary 11011011110110100111110 (23 bits)
Octal 0o33366476
Hexadecimal 0x6DED3E

Divisor Catalog (48)

1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1,326 1,811 1,989 3,622 3,978 5,433 10,866 16,299 23,543 30,787 32,598 47,086 61,574 70,629 92,361 141,258 184,722 211,887 277,083 400,231 423,774 554,166 800,462 1,200,693 2,401,386 3,602,079 7,204,158

Collatz Trajectory (142 steps to reach 1)

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

7,204,158 3,602,079 10,806,238 5,403,119 16,209,358 8,104,679 24,314,038 12,157,019 36,471,058 18,235,529 54,706,588 27,353,294 13,676,647 41,029,942 20,514,971 61,544,914 30,772,457 92,317,372 46,158,686 23,079,343 69,238,030 34,619,015 103,857,046 51,928,523 155,785,570 77,892,785 233,678,356 116,839,178 58,419,589 175,258,768 87,629,384 43,814,692 21,907,346 10,953,673 32,861,020 16,430,510 8,215,255 24,645,766 12,322,883 36,968,650 18,484,325 55,452,976 27,726,488 13,863,244 6,931,622 3,465,811 10,397,434 5,198,717 15,596,152 7,798,076 3,899,038 1,949,519 5,848,558 2,924,279 8,772,838 4,386,419 13,159,258 6,579,629 19,738,888 9,869,444

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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