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3,694,720

27 × 5 × 23 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5 × 23 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,253,440
Proper Divisor Sum 5,558,720
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3694711 ← → #3694723

Radix Representation

Decimal 3694720
Binary 1110000110000010000000 (22 bits)
Octal 0o16060200
Hexadecimal 0x386080

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 251 320 368 460 502 640 736 920 1,004 1,255 1,472 1,840 2,008 2,510 2,944 3,680 4,016 5,020 5,773 7,360 8,032 10,040 11,546 14,720 16,064 20,080 23,092 28,865 32,128 40,160 46,184 57,730 80,320 92,368 115,460 160,640 184,736 230,920 369,472 461,840

Collatz Trajectory (79 steps to reach 1)

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

3,694,720 1,847,360 923,680 461,840 230,920 115,460 57,730 28,865 86,596 43,298 21,649 64,948 32,474 16,237 48,712 24,356 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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