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Atlas › Integer Profiles › Node 1,342,800

1,342,800

24 × 32 × 52 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 4,672,382
Proper Divisor Sum 3,329,582
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1342799 ← → #1342801

Radix Representation

Decimal 1342800
Binary 101000111110101010000 (21 bits)
Octal 0o5076520
Hexadecimal 0x147D50

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 373 400 450 600 720 746 900 1,119 1,200 1,492 1,800 1,865 2,238 2,984 3,357 3,600 3,730 4,476 5,595 5,968 6,714 7,460 8,952

Collatz Trajectory (111 steps to reach 1)

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

1,342,800 671,400 335,700 167,850 83,925 251,776 125,888 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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