2,736,268

2² × 269 × 2543

2,736,268 factors as 2^2 × 269 × 2543. Its 12 positive divisors give a proper-divisor sum of 2,071,892, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 269 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,808,160

Proper Divisor Sum 2,071,892

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2736263 ← → #2736313

Radix Representation

Decimal	2736268
Binary	1010011100000010001100 (22 bits)
Octal	0o12340214
Hexadecimal	0x29C08C

Divisor Catalog (12)

1 2 4 269 538 1,076 2,543 5,086 10,172 684,067 1,368,134 2,736,268

Collatz Trajectory (156 steps to reach 1)

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

2,736,268 1,368,134 684,067 2,052,202 1,026,101 3,078,304 1,539,152 769,576 384,788 192,394 96,197 288,592 144,296 72,148 36,074 18,037 54,112 27,056 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

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