λ
Prime Ledger

1,353,104

24 × 19 × 4451
Abundant Even Composite

1,353,104 has the prime decomposition 2^4 × 19 × 4451. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 19 × 4451
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,760,240
Proper Divisor Sum 1,407,136
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1353101 ← → #1353133

Radix Representation

Decimal 1353104
Binary 101001010010110010000 (21 bits)
Octal 0o5122620
Hexadecimal 0x14A590

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 4,451 8,902 17,804 35,608 71,216 84,569 169,138 338,276 676,552 1,353,104

Collatz Trajectory (230 steps to reach 1)

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

1,353,104 676,552 338,276 169,138 84,569 253,708 126,854 63,427 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094

More profiles

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