182,248

2³ × 11 × 19 × 109

182,248 factors as 2^3 × 11 × 19 × 109. Its 32 positive divisors give a proper-divisor sum of 213,752, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 19 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 396,000

Proper Divisor Sum 213,752

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #182243 ← → #182261

Radix Representation

Decimal	182248
Binary	101100011111101000 (18 bits)
Octal	0o543750
Hexadecimal	0x2C7E8

Divisor Catalog (32)

1 2 4 8 11 19 22 38 44 76 88 109 152 209 218 418 436 836 872 1,199 1,672 2,071 2,398 4,142 4,796 8,284 9,592 16,568 22,781 45,562 91,124 182,248

Collatz Trajectory (178 steps to reach 1)

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

182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

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