830,045

5 × 41 × 4049

830,045 factors as 5 × 41 × 4049. Its 8 positive divisors give a proper-divisor sum of 190,555, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5 × 41 × 4049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,020,600

Proper Divisor Sum 190,555

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #830041 ← → #830051

Radix Representation

Decimal	830045
Binary	11001010101001011101 (20 bits)
Octal	0o3125135
Hexadecimal	0xCAA5D

Divisor Catalog (8)

1 5 41 205 4,049 20,245 166,009 830,045

Collatz Trajectory (100 steps to reach 1)

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

830,045 2,490,136 1,245,068 622,534 311,267 933,802 466,901 1,400,704 700,352 350,176 175,088 87,544 43,772 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 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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