λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,045,935
97,045,935
3 × 5 × 7 × 149 × 6203
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 149 × 6203
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 178,675,200
Proper Divisor Sum 81,629,265
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #97045933 ← → #97045961

Radix Representation

Decimal 97045935
Binary 101110010001100110110101111 (27 bits)
Octal 0o562146657
Hexadecimal 0x5C8CDAF

Divisor Catalog (32)

1 3 5 7 15 21 35 105 149 447 745 1,043 2,235 3,129 5,215 6,203 15,645 18,609 31,015 43,421 93,045 130,263 217,105 651,315 924,247 2,772,741 4,621,235 6,469,729 13,863,705 19,409,187 32,348,645 97,045,935

Collatz Trajectory (293 steps to reach 1)

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

97,045,935 291,137,806 145,568,903 436,706,710 218,353,355 655,060,066 327,530,033 982,590,100 491,295,050 245,647,525 736,942,576 368,471,288 184,235,644 92,117,822 46,058,911 138,176,734 69,088,367 207,265,102 103,632,551 310,897,654 155,448,827 466,346,482 233,173,241 699,519,724 349,759,862 174,879,931 524,639,794 262,319,897 786,959,692 393,479,846 196,739,923 590,219,770 295,109,885 885,329,656 442,664,828 221,332,414 110,666,207 331,998,622 165,999,311 497,997,934 248,998,967 746,996,902 373,498,451 1,120,495,354 560,247,677 1,680,743,032 840,371,516 420,185,758 210,092,879 630,278,638 315,139,319 945,417,958 472,708,979 1,418,126,938 709,063,469 2,127,190,408 1,063,595,204 531,797,602 265,898,801 797,696,404

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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