λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,201,396
52,201,396
22 × 132 × 31 × 47 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13^2 × 31 × 47 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 106,251,264
Proper Divisor Sum 54,049,868
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #52201321 ← → #52201397

Radix Representation

Decimal 52201396
Binary 11000111001000011110110100 (26 bits)
Octal 0o307103664
Hexadecimal 0x31C87B4

Divisor Catalog (60 of 72)

1 2 4 13 26 31 47 52 53 62 94 106 124 169 188 212 338 403 611 676 689 806 1,222 1,378 1,457 1,612 1,643 2,444 2,491 2,756 2,914 3,286 4,982 5,239 5,828 6,572 7,943 8,957 9,964 10,478 15,886 17,914 18,941 20,956 21,359 31,772 32,383 35,828 37,882 42,718 64,766 75,764 77,221 85,436 129,532 154,442 246,233 277,667 308,884 420,979

Collatz Trajectory (150 steps to reach 1)

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

52,201,396 26,100,698 13,050,349 39,151,048 19,575,524 9,787,762 4,893,881 14,681,644 7,340,822 3,670,411 11,011,234 5,505,617 16,516,852 8,258,426 4,129,213 12,387,640 6,193,820 3,096,910 1,548,455 4,645,366 2,322,683 6,968,050 3,484,025 10,452,076 5,226,038 2,613,019 7,839,058 3,919,529 11,758,588 5,879,294 2,939,647 8,818,942 4,409,471 13,228,414 6,614,207 19,842,622 9,921,311 29,763,934 14,881,967 44,645,902 22,322,951 66,968,854 33,484,427 100,453,282 50,226,641 150,679,924 75,339,962 37,669,981 113,009,944 56,504,972 28,252,486 14,126,243 42,378,730 21,189,365 63,568,096 31,784,048 15,892,024 7,946,012 3,973,006 1,986,503

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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