2,496,351

3 × 11² × 13 × 23²

2,496,351 has the prime decomposition 3 × 11^2 × 13 × 23^2. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 13 × 23^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,118,744

Proper Divisor Sum 1,622,393

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2496323 ← → #2496371

Radix Representation

Decimal	2496351
Binary	1001100001011101011111 (22 bits)
Octal	0o11413537
Hexadecimal	0x26175F

Divisor Catalog (36)

1 3 11 13 23 33 39 69 121 143 253 299 363 429 529 759 897 1,573 1,587 2,783 3,289 4,719 5,819 6,877 8,349 9,867 17,457 20,631 36,179 64,009 75,647 108,537 192,027 226,941 832,117 2,496,351

Collatz Trajectory (130 steps to reach 1)

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

2,496,351 7,489,054 3,744,527 11,233,582 5,616,791 16,850,374 8,425,187 25,275,562 12,637,781 37,913,344 18,956,672 9,478,336 4,739,168 2,369,584 1,184,792 592,396 296,198 148,099 444,298 222,149 666,448 333,224 166,612 83,306 41,653 124,960 62,480 31,240 15,620 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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