λ
Harmonic Matrix

2,464,389

32 × 273821
Deficient Odd Composite

2,464,389 has digital root 9. The neighboring primes are 2464379 and 2464393; its proper-divisor sum differs from the starting integer by -1,369,092.

Prime Factor Structure

Factorization String 3^2 × 273821
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,559,686
Proper Divisor Sum 1,095,297
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2464379 ← → #2464393

Radix Representation

Decimal 2464389
Binary 1001011001101010000101 (22 bits)
Octal 0o11315205
Hexadecimal 0x259A85

Divisor Catalog (6)

1 3 9 273,821 821,463 2,464,389

Collatz Trajectory (192 steps to reach 1)

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

2,464,389 7,393,168 3,696,584 1,848,292 924,146 462,073 1,386,220 693,110 346,555 1,039,666 519,833 1,559,500 779,750 389,875 1,169,626 584,813 1,754,440 877,220 438,610 219,305 657,916 328,958 164,479 493,438 246,719 740,158 370,079 1,110,238 555,119 1,665,358 832,679 2,498,038 1,249,019 3,747,058 1,873,529 5,620,588 2,810,294 1,405,147 4,215,442 2,107,721 6,323,164 3,161,582 1,580,791 4,742,374 2,371,187 7,113,562 3,556,781 10,670,344 5,335,172 2,667,586 1,333,793 4,001,380 2,000,690 1,000,345 3,001,036 1,500,518 750,259 2,250,778 1,125,389 3,376,168

More profiles

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