λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,365,950
31,365,950
2 × 52 × 7 × 11 × 8147
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 11 × 8147
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,745,344
Proper Divisor Sum 41,379,394
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #31365889 ← → #31365953

Radix Representation

Decimal 31365950
Binary 1110111101001101100111110 (25 bits)
Octal 0o167515476
Hexadecimal 0x1DE9B3E

Divisor Catalog (48)

1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 154 175 275 350 385 550 770 1,925 3,850 8,147 16,294 40,735 57,029 81,470 89,617 114,058 179,234 203,675 285,145 407,350 448,085 570,290 627,319 896,170 1,254,638 1,425,725 2,240,425 2,851,450 3,136,595 4,480,850 6,273,190 15,682,975 31,365,950

Collatz Trajectory (157 steps to reach 1)

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

31,365,950 15,682,975 47,048,926 23,524,463 70,573,390 35,286,695 105,860,086 52,930,043 158,790,130 79,395,065 238,185,196 119,092,598 59,546,299 178,638,898 89,319,449 267,958,348 133,979,174 66,989,587 200,968,762 100,484,381 301,453,144 150,726,572 75,363,286 37,681,643 113,044,930 56,522,465 169,567,396 84,783,698 42,391,849 127,175,548 63,587,774 31,793,887 95,381,662 47,690,831 143,072,494 71,536,247 214,608,742 107,304,371 321,913,114 160,956,557 482,869,672 241,434,836 120,717,418 60,358,709 181,076,128 90,538,064 45,269,032 22,634,516 11,317,258 5,658,629 16,975,888 8,487,944 4,243,972 2,121,986 1,060,993 3,182,980 1,591,490 795,745 2,387,236 1,193,618

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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