λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,066,348
97,066,348
22 × 23 × 73 × 97 × 149
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 73 × 97 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 182,750,400
Proper Divisor Sum 85,684,052
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #97066331 ← → #97066367

Radix Representation

Decimal 97066348
Binary 101110010010001110101101100 (27 bits)
Octal 0o562216554
Hexadecimal 0x5C91D6C

Divisor Catalog (48)

1 2 4 23 46 73 92 97 146 149 194 292 298 388 596 1,679 2,231 3,358 3,427 4,462 6,716 6,854 7,081 8,924 10,877 13,708 14,162 14,453 21,754 28,324 28,906 43,508 57,812 162,863 250,171 325,726 332,419 500,342 651,452 664,838 1,000,684 1,055,069 1,329,676 2,110,138 4,220,276 24,266,587 48,533,174 97,066,348

Collatz Trajectory (112 steps to reach 1)

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

97,066,348 48,533,174 24,266,587 72,799,762 36,399,881 109,199,644 54,599,822 27,299,911 81,899,734 40,949,867 122,849,602 61,424,801 184,274,404 92,137,202 46,068,601 138,205,804 69,102,902 34,551,451 103,654,354 51,827,177 155,481,532 77,740,766 38,870,383 116,611,150 58,305,575 174,916,726 87,458,363 262,375,090 131,187,545 393,562,636 196,781,318 98,390,659 295,171,978 147,585,989 442,757,968 221,378,984 110,689,492 55,344,746 27,672,373 83,017,120 41,508,560 20,754,280 10,377,140 5,188,570 2,594,285 7,782,856 3,891,428 1,945,714 972,857 2,918,572 1,459,286 729,643 2,188,930 1,094,465 3,283,396 1,641,698 820,849 2,462,548 1,231,274 615,637

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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