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Atlas › Integer Profiles › Node 807,360

807,360

26 × 3 × 5 × 292
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 2,654,808
Proper Divisor Sum 1,847,448
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #807337 ← → #807371

Radix Representation

Decimal 807360
Binary 11000101000111000000 (20 bits)
Octal 0o3050700
Hexadecimal 0xC51C0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 841 870 928 960 1,160 1,392 1,682 1,740 1,856 2,320 2,523 2,784 3,364 3,480 4,205 4,640 5,046 5,568 6,728 6,960

Collatz Trajectory (69 steps to reach 1)

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

807,360 403,680 201,840 100,920 50,460 25,230 12,615 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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