27,913,252

2² × 17 × 410489

27,913,252 factors as 2^2 × 17 × 410489. Its 12 positive divisors give a proper-divisor sum of 23,808,488, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 410489

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 51,721,740

Proper Divisor Sum 23,808,488

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27913247 ← → #27913267

Radix Representation

Decimal	27913252
Binary	1101010011110110000100100 (25 bits)
Octal	0o152366044
Hexadecimal	0x1A9EC24

Divisor Catalog (12)

1 2 4 17 34 68 410,489 820,978 1,641,956 6,978,313 13,956,626 27,913,252

Collatz Trajectory (193 steps to reach 1)

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

27,913,252 13,956,626 6,978,313 20,934,940 10,467,470 5,233,735 15,701,206 7,850,603 23,551,810 11,775,905 35,327,716 17,663,858 8,831,929 26,495,788 13,247,894 6,623,947 19,871,842 9,935,921 29,807,764 14,903,882 7,451,941 22,355,824 11,177,912 5,588,956 2,794,478 1,397,239 4,191,718 2,095,859 6,287,578 3,143,789 9,431,368 4,715,684 2,357,842 1,178,921 3,536,764 1,768,382 884,191 2,652,574 1,326,287 3,978,862 1,989,431 5,968,294 2,984,147 8,952,442 4,476,221 13,428,664 6,714,332 3,357,166 1,678,583 5,035,750 2,517,875 7,553,626 3,776,813 11,330,440 5,665,220 2,832,610 1,416,305 4,248,916 2,124,458 1,062,229

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