340,816

2⁴ × 7 × 17 × 179

For 340,816, the 40 positive divisors have a total of 803,520. Removing 340,816 leaves 462,704, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 803,520

Proper Divisor Sum 462,704

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #340811 ← → #340819

Radix Representation

Decimal	340816
Binary	1010011001101010000 (19 bits)
Octal	0o1231520
Hexadecimal	0x53350

Divisor Catalog (40)

1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 179 238 272 358 476 716 952 1,253 1,432 1,904 2,506 2,864 3,043 5,012 6,086 10,024 12,172 20,048 21,301 24,344 42,602 48,688 85,204 170,408 340,816

Collatz Trajectory (60 steps to reach 1)

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

340,816 170,408 85,204 42,602 21,301 63,904 31,952 15,976 7,988 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 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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