2,704,732

2² × 167 × 4049

2,704,732 factors as 2^2 × 167 × 4049. Its 12 positive divisors give a proper-divisor sum of 2,058,068, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^2 × 167 × 4049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,762,800

Proper Divisor Sum 2,058,068

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2704711 ← → #2704733

Radix Representation

Decimal	2704732
Binary	1010010100010101011100 (22 bits)
Octal	0o12242534
Hexadecimal	0x29455C

Divisor Catalog (12)

1 2 4 167 334 668 4,049 8,098 16,196 676,183 1,352,366 2,704,732

Collatz Trajectory (231 steps to reach 1)

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

2,704,732 1,352,366 676,183 2,028,550 1,014,275 3,042,826 1,521,413 4,564,240 2,282,120 1,141,060 570,530 285,265 855,796 427,898 213,949 641,848 320,924 160,462 80,231 240,694 120,347 361,042 180,521 541,564 270,782 135,391 406,174 203,087 609,262 304,631 913,894 456,947 1,370,842 685,421 2,056,264 1,028,132 514,066 257,033 771,100 385,550 192,775 578,326 289,163 867,490 433,745 1,301,236 650,618 325,309 975,928 487,964 243,982 121,991 365,974 182,987 548,962 274,481 823,444 411,722 205,861 617,584

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