27,240,362

2 × 37² × 9949

27,240,362 factors as 2 × 37^2 × 9949. Its 12 positive divisors give a proper-divisor sum of 14,758,588, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 37^2 × 9949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 41,998,950

Proper Divisor Sum 14,758,588

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #27240361 ← → #27240377

Radix Representation

Decimal	27240362
Binary	1100111111010011110101010 (25 bits)
Octal	0o147723652
Hexadecimal	0x19FA7AA

Divisor Catalog (12)

1 2 37 74 1,369 2,738 9,949 19,898 368,113 736,226 13,620,181 27,240,362

Collatz Trajectory (224 steps to reach 1)

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

27,240,362 13,620,181 40,860,544 20,430,272 10,215,136 5,107,568 2,553,784 1,276,892 638,446 319,223 957,670 478,835 1,436,506 718,253 2,154,760 1,077,380 538,690 269,345 808,036 404,018 202,009 606,028 303,014 151,507 454,522 227,261 681,784 340,892 170,446 85,223 255,670 127,835 383,506 191,753 575,260 287,630 143,815 431,446 215,723 647,170 323,585 970,756 485,378 242,689 728,068 364,034 182,017 546,052 273,026 136,513 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592 28,796

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