1,304,400

2⁴ × 3 × 5² × 1087

1,304,400 has the prime decomposition 2^4 × 3 × 5^2 × 1087. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 4,182,272

Proper Divisor Sum 2,877,872

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1304389 ← → #1304411

Radix Representation

Decimal	1304400
Binary	100111110011101010000 (21 bits)
Octal	0o4763520
Hexadecimal	0x13E750

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,087 1,200 2,174 3,261 4,348 5,435 6,522 8,696 10,870 13,044 16,305 17,392 21,740 26,088 27,175 32,610 43,480 52,176 54,350 65,220 81,525 86,960 108,700 130,440 163,050 217,400 260,880 326,100 434,800 652,200 1,304,400

Collatz Trajectory (80 steps to reach 1)

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

1,304,400 652,200 326,100 163,050 81,525 244,576 122,288 61,144 30,572 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232

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