27,767,176

2³ × 3470897

27,767,176 factors as 2^3 × 3470897. Its 8 positive divisors give a proper-divisor sum of 24,296,294, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 3470897

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 52,063,470

Proper Divisor Sum 24,296,294

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27767167 ← → #27767191

Radix Representation

Decimal	27767176
Binary	1101001111011000110001000 (25 bits)
Octal	0o151730610
Hexadecimal	0x1A7B188

Divisor Catalog (8)

1 2 4 8 3,470,897 6,941,794 13,883,588 27,767,176

Collatz Trajectory (131 steps to reach 1)

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

27,767,176 13,883,588 6,941,794 3,470,897 10,412,692 5,206,346 2,603,173 7,809,520 3,904,760 1,952,380 976,190 488,095 1,464,286 732,143 2,196,430 1,098,215 3,294,646 1,647,323 4,941,970 2,470,985 7,412,956 3,706,478 1,853,239 5,559,718 2,779,859 8,339,578 4,169,789 12,509,368 6,254,684 3,127,342 1,563,671 4,691,014 2,345,507 7,036,522 3,518,261 10,554,784 5,277,392 2,638,696 1,319,348 659,674 329,837 989,512 494,756 247,378 123,689 371,068 185,534 92,767 278,302 139,151 417,454 208,727 626,182 313,091 939,274 469,637 1,408,912 704,456 352,228 176,114

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