λ
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11,202,178

2 × 13 × 29 × 83 × 179
Deficient Even Composite

11,202,178 factors as 2 × 13 × 29 × 83 × 179. Its 32 positive divisors give a proper-divisor sum of 7,849,022, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 83 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,051,200
Proper Divisor Sum 7,849,022
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #11202161 ← → #11202179

Radix Representation

Decimal 11202178
Binary 101010101110111010000010 (24 bits)
Octal 0o52567202
Hexadecimal 0xAAEE82

Divisor Catalog (32)

1 2 13 26 29 58 83 166 179 358 377 754 1,079 2,158 2,327 2,407 4,654 4,814 5,191 10,382 14,857 29,714 31,291 62,582 67,483 134,966 193,141 386,282 430,853 861,706 5,601,089 11,202,178

Collatz Trajectory (109 steps to reach 1)

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

11,202,178 5,601,089 16,803,268 8,401,634 4,200,817 12,602,452 6,301,226 3,150,613 9,451,840 4,725,920 2,362,960 1,181,480 590,740 295,370 147,685 443,056 221,528 110,764 55,382 27,691 83,074 41,537 124,612 62,306 31,153 93,460 46,730 23,365 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978

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