λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,747,423
9,747,423
32 × 72 × 23 × 312
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 23 × 31^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 17,659,512
Proper Divisor Sum 7,912,089
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9747421 ← → #9747457

Radix Representation

Decimal 9747423
Binary 100101001011101111011111 (24 bits)
Octal 0o45135737
Hexadecimal 0x94BBDF

Divisor Catalog (54)

1 3 7 9 21 23 31 49 63 69 93 147 161 207 217 279 441 483 651 713 961 1,127 1,449 1,519 1,953 2,139 2,883 3,381 4,557 4,991 6,417 6,727 8,649 10,143 13,671 14,973 20,181 22,103 34,937 44,919 47,089 60,543 66,309 104,811 141,267 154,721 198,927 314,433 423,801 464,163 1,083,047 1,392,489 3,249,141 9,747,423

Collatz Trajectory (119 steps to reach 1)

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

9,747,423 29,242,270 14,621,135 43,863,406 21,931,703 65,795,110 32,897,555 98,692,666 49,346,333 148,039,000 74,019,500 37,009,750 18,504,875 55,514,626 27,757,313 83,271,940 41,635,970 20,817,985 62,453,956 31,226,978 15,613,489 46,840,468 23,420,234 11,710,117 35,130,352 17,565,176 8,782,588 4,391,294 2,195,647 6,586,942 3,293,471 9,880,414 4,940,207 14,820,622 7,410,311 22,230,934 11,115,467 33,346,402 16,673,201 50,019,604 25,009,802 12,504,901 37,514,704 18,757,352 9,378,676 4,689,338 2,344,669 7,034,008 3,517,004 1,758,502 879,251 2,637,754 1,318,877 3,956,632 1,978,316 989,158 494,579 1,483,738 741,869 2,225,608

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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