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Atlas › Integer Profiles › Node 8,301,202

8,301,202

2 × 7 × 13 × 17 × 2683
Deficient Even Composite

8,301,202 factors as 2 × 7 × 13 × 17 × 2683. Its 32 positive divisors give a proper-divisor sum of 7,931,630, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 17 × 2683
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,232,832
Proper Divisor Sum 7,931,630
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #8301199 ← → #8301217

Radix Representation

Decimal 8301202
Binary 11111101010101010010010 (23 bits)
Octal 0o37525222
Hexadecimal 0x7EAA92

Divisor Catalog (32)

1 2 7 13 14 17 26 34 91 119 182 221 238 442 1,547 2,683 3,094 5,366 18,781 34,879 37,562 45,611 69,758 91,222 244,153 319,277 488,306 592,943 638,554 1,185,886 4,150,601 8,301,202

Collatz Trajectory (80 steps to reach 1)

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

8,301,202 4,150,601 12,451,804 6,225,902 3,112,951 9,338,854 4,669,427 14,008,282 7,004,141 21,012,424 10,506,212 5,253,106 2,626,553 7,879,660 3,939,830 1,969,915 5,909,746 2,954,873 8,864,620 4,432,310 2,216,155 6,648,466 3,324,233 9,972,700 4,986,350 2,493,175 7,479,526 3,739,763 11,219,290 5,609,645 16,828,936 8,414,468 4,207,234 2,103,617 6,310,852 3,155,426 1,577,713 4,733,140 2,366,570 1,183,285 3,549,856 1,774,928 887,464 443,732 221,866 110,933 332,800 166,400 83,200 41,600 20,800 10,400 5,200 2,600 1,300 650 325 976 488 244

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