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310,080

26 × 3 × 5 × 17 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 17 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 1,097,280
Proper Divisor Sum 787,200
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #310049 ← → #310081

Radix Representation

Decimal 310080
Binary 1001011101101000000 (19 bits)
Octal 0o1135500
Hexadecimal 0x4BB40

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 64 68 76 80 85 95 96 102 114 120 136 152 160 170 190 192 204 228 240 255 272 285 304 320 323 340 380 408 456 480 510 544 570 608 646 680

Collatz Trajectory (78 steps to reach 1)

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

310,080 155,040 77,520 38,760 19,380 9,690 4,845 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56

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