λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,264,368
97,264,368
24 × 33 × 225149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 225149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 279,186,000
Proper Divisor Sum 181,921,632
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #97264367 ← → #97264403

Radix Representation

Decimal 97264368
Binary 101110011000010001011110000 (27 bits)
Octal 0o563021360
Hexadecimal 0x5CC22F0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 225,149 450,298 675,447 900,596 1,350,894 1,801,192 2,026,341 2,701,788 3,602,384 4,052,682 5,403,576 6,079,023 8,105,364 10,807,152 12,158,046 16,210,728 24,316,092 32,421,456 48,632,184 97,264,368

Collatz Trajectory (275 steps to reach 1)

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

97,264,368 48,632,184 24,316,092 12,158,046 6,079,023 18,237,070 9,118,535 27,355,606 13,677,803 41,033,410 20,516,705 61,550,116 30,775,058 15,387,529 46,162,588 23,081,294 11,540,647 34,621,942 17,310,971 51,932,914 25,966,457 77,899,372 38,949,686 19,474,843 58,424,530 29,212,265 87,636,796 43,818,398 21,909,199 65,727,598 32,863,799 98,591,398 49,295,699 147,887,098 73,943,549 221,830,648 110,915,324 55,457,662 27,728,831 83,186,494 41,593,247 124,779,742 62,389,871 187,169,614 93,584,807 280,754,422 140,377,211 421,131,634 210,565,817 631,697,452 315,848,726 157,924,363 473,773,090 236,886,545 710,659,636 355,329,818 177,664,909 532,994,728 266,497,364 133,248,682

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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