λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,049,017
32,049,017
7 × 11 × 13 × 101 × 317
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11 × 13 × 101 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,593,984
Proper Divisor Sum 11,544,967
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #32049013 ← → #32049023

Radix Representation

Decimal 32049017
Binary 1111010010000011101111001 (25 bits)
Octal 0o172203571
Hexadecimal 0x1E90779

Divisor Catalog (32)

1 7 11 13 77 91 101 143 317 707 1,001 1,111 1,313 2,219 3,487 4,121 7,777 9,191 14,443 24,409 28,847 32,017 45,331 101,101 224,119 317,317 352,187 416,221 2,465,309 2,913,547 4,578,431 32,049,017

Collatz Trajectory (276 steps to reach 1)

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

32,049,017 96,147,052 48,073,526 24,036,763 72,110,290 36,055,145 108,165,436 54,082,718 27,041,359 81,124,078 40,562,039 121,686,118 60,843,059 182,529,178 91,264,589 273,793,768 136,896,884 68,448,442 34,224,221 102,672,664 51,336,332 25,668,166 12,834,083 38,502,250 19,251,125 57,753,376 28,876,688 14,438,344 7,219,172 3,609,586 1,804,793 5,414,380 2,707,190 1,353,595 4,060,786 2,030,393 6,091,180 3,045,590 1,522,795 4,568,386 2,284,193 6,852,580 3,426,290 1,713,145 5,139,436 2,569,718 1,284,859 3,854,578 1,927,289 5,781,868 2,890,934 1,445,467 4,336,402 2,168,201 6,504,604 3,252,302 1,626,151 4,878,454 2,439,227 7,317,682

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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