λ
Prime Ledger

1,081,340

22 × 5 × 13 × 4159
Abundant Even Composite

1,081,340 has the prime decomposition 2^2 × 5 × 13 × 4159. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 4159
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,446,080
Proper Divisor Sum 1,364,740
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1081337 ← → #1081351

Radix Representation

Decimal 1081340
Binary 100000111111111111100 (21 bits)
Octal 0o4077774
Hexadecimal 0x107FFC

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 4,159 8,318 16,636 20,795 41,590 54,067 83,180 108,134 216,268 270,335 540,670 1,081,340

Collatz Trajectory (227 steps to reach 1)

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

1,081,340 540,670 270,335 811,006 405,503 1,216,510 608,255 1,824,766 912,383 2,737,150 1,368,575 4,105,726 2,052,863 6,158,590 3,079,295 9,237,886 4,618,943 13,856,830 6,928,415 20,785,246 10,392,623 31,177,870 15,588,935 46,766,806 23,383,403 70,150,210 35,075,105 105,225,316 52,612,658 26,306,329 78,918,988 39,459,494 19,729,747 59,189,242 29,594,621 88,783,864 44,391,932 22,195,966 11,097,983 33,293,950 16,646,975 49,940,926 24,970,463 74,911,390 37,455,695 112,367,086 56,183,543 168,550,630 84,275,315 252,825,946 126,412,973 379,238,920 189,619,460 94,809,730 47,404,865 142,214,596 71,107,298 35,553,649 106,660,948 53,330,474

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