1,162,408

2³ × 13 × 11177

1,162,408 factors as 2^3 × 13 × 11177. Its 16 positive divisors give a proper-divisor sum of 1,184,972, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 11177

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,347,380

Proper Divisor Sum 1,184,972

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1162373 ← → #1162417

Radix Representation

Decimal	1162408
Binary	100011011110010101000 (21 bits)
Octal	0o4336250
Hexadecimal	0x11BCA8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 11,177 22,354 44,708 89,416 145,301 290,602 581,204 1,162,408

Collatz Trajectory (103 steps to reach 1)

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

1,162,408 581,204 290,602 145,301 435,904 217,952 108,976 54,488 27,244 13,622 6,811 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375

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