1,828,580

2² × 5 × 13² × 541

1,828,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 13^2 × 541 and its 36 divisors sum to 4,165,812.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,165,812

Proper Divisor Sum 2,337,232

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1828549 ← → #1828583

Radix Representation

Decimal	1828580
Binary	110111110011011100100 (21 bits)
Octal	0o6763344
Hexadecimal	0x1BE6E4

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 541 676 845 1,082 1,690 2,164 2,705 3,380 5,410 7,033 10,820 14,066 28,132 35,165 70,330 91,429 140,660 182,858 365,716 457,145 914,290 1,828,580

Collatz Trajectory (57 steps to reach 1)

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

1,828,580 914,290 457,145 1,371,436 685,718 342,859 1,028,578 514,289 1,542,868 771,434 385,717 1,157,152 578,576 289,288 144,644 72,322 36,161 108,484 54,242 27,121 81,364 40,682 20,341 61,024 30,512 15,256 7,628 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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