λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,460,290
37,460,290
2 × 5 × 7 × 457 × 1171
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 457 × 1171
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,295,744
Proper Divisor Sum 39,835,454
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #37460287 ← → #37460329

Radix Representation

Decimal 37460290
Binary 10001110111001100101000010 (26 bits)
Octal 0o216714502
Hexadecimal 0x23B9942

Divisor Catalog (32)

1 2 5 7 10 14 35 70 457 914 1,171 2,285 2,342 3,199 4,570 5,855 6,398 8,197 11,710 15,995 16,394 31,990 40,985 81,970 535,147 1,070,294 2,675,735 3,746,029 5,351,470 7,492,058 18,730,145 37,460,290

Collatz Trajectory (196 steps to reach 1)

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

37,460,290 18,730,145 56,190,436 28,095,218 14,047,609 42,142,828 21,071,414 10,535,707 31,607,122 15,803,561 47,410,684 23,705,342 11,852,671 35,558,014 17,779,007 53,337,022 26,668,511 80,005,534 40,002,767 120,008,302 60,004,151 180,012,454 90,006,227 270,018,682 135,009,341 405,028,024 202,514,012 101,257,006 50,628,503 151,885,510 75,942,755 227,828,266 113,914,133 341,742,400 170,871,200 85,435,600 42,717,800 21,358,900 10,679,450 5,339,725 16,019,176 8,009,588 4,004,794 2,002,397 6,007,192 3,003,596 1,501,798 750,899 2,252,698 1,126,349 3,379,048 1,689,524 844,762 422,381 1,267,144 633,572 316,786 158,393 475,180 237,590

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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