λ
Prime Ledger

3,450,520

23 × 5 × 86263
Abundant Even Composite

3,450,520 has the prime decomposition 2^3 × 5 × 86263. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 86263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,763,760
Proper Divisor Sum 4,313,240
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3450487 ← → #3450521

Radix Representation

Decimal 3450520
Binary 1101001010011010011000 (22 bits)
Octal 0o15123230
Hexadecimal 0x34A698

Divisor Catalog (16)

1 2 4 5 8 10 20 40 86,263 172,526 345,052 431,315 690,104 862,630 1,725,260 3,450,520

Collatz Trajectory (97 steps to reach 1)

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

3,450,520 1,725,260 862,630 431,315 1,293,946 646,973 1,940,920 970,460 485,230 242,615 727,846 363,923 1,091,770 545,885 1,637,656 818,828 409,414 204,707 614,122 307,061 921,184 460,592 230,296 115,148 57,574 28,787 86,362 43,181 129,544 64,772 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611

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