27,353,247

3 × 53 × 71 × 2423

27,353,247 factors as 3 × 53 × 71 × 2423. Its 16 positive divisors give a proper-divisor sum of 10,344,801, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 53 × 71 × 2423

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 37,698,048

Proper Divisor Sum 10,344,801

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #27353243 ← → #27353251

Radix Representation

Decimal	27353247
Binary	1101000010110000010011111 (25 bits)
Octal	0o150260237
Hexadecimal	0x1A1609F

Divisor Catalog (16)

1 3 53 71 159 213 2,423 3,763 7,269 11,289 128,419 172,033 385,257 516,099 9,117,749 27,353,247

Collatz Trajectory (224 steps to reach 1)

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

27,353,247 82,059,742 41,029,871 123,089,614 61,544,807 184,634,422 92,317,211 276,951,634 138,475,817 415,427,452 207,713,726 103,856,863 311,570,590 155,785,295 467,355,886 233,677,943 701,033,830 350,516,915 1,051,550,746 525,775,373 1,577,326,120 788,663,060 394,331,530 197,165,765 591,497,296 295,748,648 147,874,324 73,937,162 36,968,581 110,905,744 55,452,872 27,726,436 13,863,218 6,931,609 20,794,828 10,397,414 5,198,707 15,596,122 7,798,061 23,394,184 11,697,092 5,848,546 2,924,273 8,772,820 4,386,410 2,193,205 6,579,616 3,289,808 1,644,904 822,452 411,226 205,613 616,840 308,420 154,210 77,105 231,316 115,658 57,829 173,488

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