337,280

2⁷ × 5 × 17 × 31

337,280 factors as 2^7 × 5 × 17 × 31. Its 64 positive divisors give a proper-divisor sum of 544,000, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 881,280

Proper Divisor Sum 544,000

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #337279 ← → #337283

Radix Representation

Decimal	337280
Binary	1010010010110000000 (19 bits)
Octal	0o1222600
Hexadecimal	0x52580

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 128 136 155 160 170 248 272 310 320 340 496 527 544 620 640 680 992 1,054 1,088 1,240 1,360 1,984 2,108 2,176 2,480 2,635 2,720 3,968 4,216 4,960 5,270 5,440 8,432 9,920 10,540 10,880 16,864 19,840 21,080 33,728 42,160

Collatz Trajectory (60 steps to reach 1)

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

337,280 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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