λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,429,052
39,429,052
22 × 132 × 17 × 47 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13^2 × 17 × 47 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 81,902,016
Proper Divisor Sum 42,472,964
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #39429037 ← → #39429053

Radix Representation

Decimal 39429052
Binary 10010110011010001110111100 (26 bits)
Octal 0o226321674
Hexadecimal 0x259A3BC

Divisor Catalog (60 of 72)

1 2 4 13 17 26 34 47 52 68 73 94 146 169 188 221 292 338 442 611 676 799 884 949 1,222 1,241 1,598 1,898 2,444 2,482 2,873 3,196 3,431 3,796 4,964 5,746 6,862 7,943 10,387 11,492 12,337 13,724 15,886 16,133 20,774 24,674 31,772 32,266 41,548 44,603 49,348 58,327 64,532 89,206 116,654 135,031 178,412 209,729 233,308 270,062

Collatz Trajectory (196 steps to reach 1)

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

39,429,052 19,714,526 9,857,263 29,571,790 14,785,895 44,357,686 22,178,843 66,536,530 33,268,265 99,804,796 49,902,398 24,951,199 74,853,598 37,426,799 112,280,398 56,140,199 168,420,598 84,210,299 252,630,898 126,315,449 378,946,348 189,473,174 94,736,587 284,209,762 142,104,881 426,314,644 213,157,322 106,578,661 319,735,984 159,867,992 79,933,996 39,966,998 19,983,499 59,950,498 29,975,249 89,925,748 44,962,874 22,481,437 67,444,312 33,722,156 16,861,078 8,430,539 25,291,618 12,645,809 37,937,428 18,968,714 9,484,357 28,453,072 14,226,536 7,113,268 3,556,634 1,778,317 5,334,952 2,667,476 1,333,738 666,869 2,000,608 1,000,304 500,152 250,076

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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