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401,280

27 × 3 × 5 × 11 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 11 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 1,468,800
Proper Divisor Sum 1,067,520
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #401279 ← → #401287

Radix Representation

Decimal 401280
Binary 1100001111110000000 (19 bits)
Octal 0o1417600
Hexadecimal 0x61F80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 32 33 38 40 44 48 55 57 60 64 66 76 80 88 95 96 110 114 120 128 132 152 160 165 176 190 192 209 220 228 240 264 285 304 320 330 352 380 384 418 440 456 480

Collatz Trajectory (68 steps to reach 1)

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

401,280 200,640 100,320 50,160 25,080 12,540 6,270 3,135 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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