λ
Harmonic Matrix

1,427,484

22 × 3 × 47 × 2531
Abundant Even Composite

1,427,484 has digital root 3. The neighboring primes are 1427483 and 1427501; its proper-divisor sum differs from the starting integer by 548,040.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 2531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,403,008
Proper Divisor Sum 1,975,524
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1427483 ← → #1427501

Radix Representation

Decimal 1427484
Binary 101011100100000011100 (21 bits)
Octal 0o5344034
Hexadecimal 0x15C81C

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 2,531 5,062 7,593 10,124 15,186 30,372 118,957 237,914 356,871 475,828 713,742 1,427,484

Collatz Trajectory (199 steps to reach 1)

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

1,427,484 713,742 356,871 1,070,614 535,307 1,605,922 802,961 2,408,884 1,204,442 602,221 1,806,664 903,332 451,666 225,833 677,500 338,750 169,375 508,126 254,063 762,190 381,095 1,143,286 571,643 1,714,930 857,465 2,572,396 1,286,198 643,099 1,929,298 964,649 2,893,948 1,446,974 723,487 2,170,462 1,085,231 3,255,694 1,627,847 4,883,542 2,441,771 7,325,314 3,662,657 10,987,972 5,493,986 2,746,993 8,240,980 4,120,490 2,060,245 6,180,736 3,090,368 1,545,184 772,592 386,296 193,148 96,574 48,287 144,862 72,431 217,294 108,647 325,942

More profiles

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