830,058

2 × 3 × 37 × 3739

830,058 factors as 2 × 3 × 37 × 3739. Its 16 positive divisors give a proper-divisor sum of 875,382, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 3739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,705,440

Proper Divisor Sum 875,382

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #830051 ← → #830099

Radix Representation

Decimal	830058
Binary	11001010101001101010 (20 bits)
Octal	0o3125152
Hexadecimal	0xCAA6A

Divisor Catalog (16)

1 2 3 6 37 74 111 222 3,739 7,478 11,217 22,434 138,343 276,686 415,029 830,058

Collatz Trajectory (100 steps to reach 1)

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

830,058 415,029 1,245,088 622,544 311,272 155,636 77,818 38,909 116,728 58,364 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061 63,184 31,592

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