λ
Ratio Atlas

27,603,166

2 × 269 × 51307
Deficient Even Composite

27,603,166 factors as 2 × 269 × 51307. Its 8 positive divisors give a proper-divisor sum of 13,956,314, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2 × 269 × 51307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 41,559,480
Proper Divisor Sum 13,956,314
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #27603161 ← → #27603179

Radix Representation

Decimal 27603166
Binary 1101001010011000011011110 (25 bits)
Octal 0o151230336
Hexadecimal 0x1A530DE

Divisor Catalog (8)

Collatz Trajectory (322 steps to reach 1)

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

27,603,166 13,801,583 41,404,750 20,702,375 62,107,126 31,053,563 93,160,690 46,580,345 139,741,036 69,870,518 34,935,259 104,805,778 52,402,889 157,208,668 78,604,334 39,302,167 117,906,502 58,953,251 176,859,754 88,429,877 265,289,632 132,644,816 66,322,408 33,161,204 16,580,602 8,290,301 24,870,904 12,435,452 6,217,726 3,108,863 9,326,590 4,663,295 13,989,886 6,994,943 20,984,830 10,492,415 31,477,246 15,738,623 47,215,870 23,607,935 70,823,806 35,411,903 106,235,710 53,117,855 159,353,566 79,676,783 239,030,350 119,515,175 358,545,526 179,272,763 537,818,290 268,909,145 806,727,436 403,363,718 201,681,859 605,045,578 302,522,789 907,568,368 453,784,184 226,892,092

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