4,271,280

2⁴ × 3 × 5 × 13 × 37²

4,271,280 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 13 × 37^2 and its 120 divisors sum to 14,655,312.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 37^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 14,655,312

Proper Divisor Sum 10,384,032

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4271279 ← → #4271297

Radix Representation

Decimal	4271280
Binary	10000010010110010110000 (23 bits)
Octal	0o20226260
Hexadecimal	0x412CB0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 962 1,040 1,110 1,369 1,443 1,480 1,560 1,776 1,924

Collatz Trajectory (123 steps to reach 1)

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

4,271,280 2,135,640 1,067,820 533,910 266,955 800,866 400,433 1,201,300 600,650 300,325 900,976 450,488 225,244 112,622 56,311 168,934 84,467 253,402 126,701 380,104 190,052 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755

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