λ
Harmonic Matrix

2,745,318

2 × 3 × 457553
Abundant Even Composite

2,745,318 has digital root 3. The neighboring primes are 2745307 and 2745361; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 457553
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,490,648
Proper Divisor Sum 2,745,330
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2745307 ← → #2745361

Radix Representation

Decimal 2745318
Binary 1010011110001111100110 (22 bits)
Octal 0o12361746
Hexadecimal 0x29E3E6

Divisor Catalog (8)

1 2 3 6 457,553 915,106 1,372,659 2,745,318

Collatz Trajectory (213 steps to reach 1)

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

2,745,318 1,372,659 4,117,978 2,058,989 6,176,968 3,088,484 1,544,242 772,121 2,316,364 1,158,182 579,091 1,737,274 868,637 2,605,912 1,302,956 651,478 325,739 977,218 488,609 1,465,828 732,914 366,457 1,099,372 549,686 274,843 824,530 412,265 1,236,796 618,398 309,199 927,598 463,799 1,391,398 695,699 2,087,098 1,043,549 3,130,648 1,565,324 782,662 391,331 1,173,994 586,997 1,760,992 880,496 440,248 220,124 110,062 55,031 165,094 82,547 247,642 123,821 371,464 185,732 92,866 46,433 139,300 69,650 34,825 104,476

More profiles

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