λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,009,106

20,009,106

2 × 35 × 13 × 3167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 3167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,432,384
Proper Divisor Sum 28,423,278
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20009053 ← → #20009113

Radix Representation

Decimal 20009106
Binary 1001100010101000010010010 (25 bits)
Octal 0o114250222
Hexadecimal 0x1315092

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1,053 2,106 3,159 3,167 6,318 6,334 9,501 19,002 28,503 41,171 57,006 82,342 85,509 123,513 171,018 247,026 256,527 370,539 513,054 741,078 769,581 1,111,617 1,539,162 2,223,234 3,334,851 6,669,702 10,004,553 20,009,106

Collatz Trajectory (138 steps to reach 1)

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

20,009,106 10,004,553 30,013,660 15,006,830 7,503,415 22,510,246 11,255,123 33,765,370 16,882,685 50,648,056 25,324,028 12,662,014 6,331,007 18,993,022 9,496,511 28,489,534 14,244,767 42,734,302 21,367,151 64,101,454 32,050,727 96,152,182 48,076,091 144,228,274 72,114,137 216,342,412 108,171,206 54,085,603 162,256,810 81,128,405 243,385,216 121,692,608 60,846,304 30,423,152 15,211,576 7,605,788 3,802,894 1,901,447 5,704,342 2,852,171 8,556,514 4,278,257 12,834,772 6,417,386 3,208,693 9,626,080 4,813,040 2,406,520 1,203,260 601,630 300,815 902,446 451,223 1,353,670 676,835 2,030,506 1,015,253 3,045,760 1,522,880 761,440

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,009,105 Browse Full Index Next Integer #20,009,107 →