2,736,243

3² × 59 × 5153

2,736,243 factors as 3^2 × 59 × 5153. Its 12 positive divisors give a proper-divisor sum of 1,283,877, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 59 × 5153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,020,120

Proper Divisor Sum 1,283,877

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2736233 ← → #2736257

Radix Representation

Decimal	2736243
Binary	1010011100000001110011 (22 bits)
Octal	0o12340163
Hexadecimal	0x29C073

Divisor Catalog (12)

1 3 9 59 177 531 5,153 15,459 46,377 304,027 912,081 2,736,243

Collatz Trajectory (138 steps to reach 1)

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

2,736,243 8,208,730 4,104,365 12,313,096 6,156,548 3,078,274 1,539,137 4,617,412 2,308,706 1,154,353 3,463,060 1,731,530 865,765 2,597,296 1,298,648 649,324 324,662 162,331 486,994 243,497 730,492 365,246 182,623 547,870 273,935 821,806 410,903 1,232,710 616,355 1,849,066 924,533 2,773,600 1,386,800 693,400 346,700 173,350 86,675 260,026 130,013 390,040 195,020 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356

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