2,737,650

2 × 3 × 5² × 18251

2,737,650 has digital root 3. The neighboring primes are 2737649 and 2737661; its proper-divisor sum differs from the starting integer by 1,314,444.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 18251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,789,744

Proper Divisor Sum 4,052,094

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2737649 ← → #2737661

Radix Representation

Decimal	2737650
Binary	1010011100010111110010 (22 bits)
Octal	0o12342762
Hexadecimal	0x29C5F2

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 18,251 36,502 54,753 91,255 109,506 182,510 273,765 456,275 547,530 912,550 1,368,825 2,737,650

Collatz Trajectory (138 steps to reach 1)

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

2,737,650 1,368,825 4,106,476 2,053,238 1,026,619 3,079,858 1,539,929 4,619,788 2,309,894 1,154,947 3,464,842 1,732,421 5,197,264 2,598,632 1,299,316 649,658 324,829 974,488 487,244 243,622 121,811 365,434 182,717 548,152 274,076 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186

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