λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,142,000
97,142,000
24 × 53 × 48571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 48571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 234,894,192
Proper Divisor Sum 137,752,192
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #97141973 ← → #97142009

Radix Representation

Decimal 97142000
Binary 101110010100100010011110000 (27 bits)
Octal 0o562442360
Hexadecimal 0x5CA44F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 2,000 48,571 97,142 194,284 242,855 388,568 485,710 777,136 971,420 1,214,275 1,942,840 2,428,550 3,885,680 4,857,100 6,071,375 9,714,200 12,142,750 19,428,400 24,285,500 48,571,000 97,142,000

Collatz Trajectory (218 steps to reach 1)

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

97,142,000 48,571,000 24,285,500 12,142,750 6,071,375 18,214,126 9,107,063 27,321,190 13,660,595 40,981,786 20,490,893 61,472,680 30,736,340 15,368,170 7,684,085 23,052,256 11,526,128 5,763,064 2,881,532 1,440,766 720,383 2,161,150 1,080,575 3,241,726 1,620,863 4,862,590 2,431,295 7,293,886 3,646,943 10,940,830 5,470,415 16,411,246 8,205,623 24,616,870 12,308,435 36,925,306 18,462,653 55,387,960 27,693,980 13,846,990 6,923,495 20,770,486 10,385,243 31,155,730 15,577,865 46,733,596 23,366,798 11,683,399 35,050,198 17,525,099 52,575,298 26,287,649 78,862,948 39,431,474 19,715,737 59,147,212 29,573,606 14,786,803 44,360,410 22,180,205

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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