λ
Harmonic Matrix

2,420,490

2 × 3 × 5 × 80683
Abundant Even Composite

2,420,490 has digital root 3. The neighboring primes are 2420479 and 2420519; its proper-divisor sum differs from the starting integer by 968,268.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 80683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,809,248
Proper Divisor Sum 3,388,758
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2420479 ← → #2420519

Radix Representation

Decimal 2420490
Binary 1001001110111100001010 (22 bits)
Octal 0o11167412
Hexadecimal 0x24EF0A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 80,683 161,366 242,049 403,415 484,098 806,830 1,210,245 2,420,490

Collatz Trajectory (130 steps to reach 1)

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

2,420,490 1,210,245 3,630,736 1,815,368 907,684 453,842 226,921 680,764 340,382 170,191 510,574 255,287 765,862 382,931 1,148,794 574,397 1,723,192 861,596 430,798 215,399 646,198 323,099 969,298 484,649 1,453,948 726,974 363,487 1,090,462 545,231 1,635,694 817,847 2,453,542 1,226,771 3,680,314 1,840,157 5,520,472 2,760,236 1,380,118 690,059 2,070,178 1,035,089 3,105,268 1,552,634 776,317 2,328,952 1,164,476 582,238 291,119 873,358 436,679 1,310,038 655,019 1,965,058 982,529 2,947,588 1,473,794 736,897 2,210,692 1,105,346 552,673

More profiles

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