2,736,369

3³ × 101347

2,736,369 factors as 3^3 × 101347. Its 8 positive divisors give a proper-divisor sum of 1,317,551, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3^3 × 101347

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,053,920

Proper Divisor Sum 1,317,551

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2736367 ← → #2736397

Radix Representation

Decimal	2736369
Binary	1010011100000011110001 (22 bits)
Octal	0o12340361
Hexadecimal	0x29C0F1

Divisor Catalog (8)

1 3 9 27 101,347 304,041 912,123 2,736,369

Collatz Trajectory (187 steps to reach 1)

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

2,736,369 8,209,108 4,104,554 2,052,277 6,156,832 3,078,416 1,539,208 769,604 384,802 192,401 577,204 288,602 144,301 432,904 216,452 108,226 54,113 162,340 81,170 40,585 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002

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