λ
Harmonic Matrix

2,418,493

73 × 11 × 641
Deficient Odd Composite

2,418,493 has digital root 4. The neighboring primes are 2418463 and 2418509; its proper-divisor sum differs from the starting integer by -1,755,386.

Prime Factor Structure

Factorization String 7^3 × 11 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,081,600
Proper Divisor Sum 663,107
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2418463 ← → #2418509

Radix Representation

Decimal 2418493
Binary 1001001110011100111101 (22 bits)
Octal 0o11163475
Hexadecimal 0x24E73D

Divisor Catalog (16)

1 7 11 49 77 343 539 641 3,773 4,487 7,051 31,409 49,357 219,863 345,499 2,418,493

Collatz Trajectory (192 steps to reach 1)

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

2,418,493 7,255,480 3,627,740 1,813,870 906,935 2,720,806 1,360,403 4,081,210 2,040,605 6,121,816 3,060,908 1,530,454 765,227 2,295,682 1,147,841 3,443,524 1,721,762 860,881 2,582,644 1,291,322 645,661 1,936,984 968,492 484,246 242,123 726,370 363,185 1,089,556 544,778 272,389 817,168 408,584 204,292 102,146 51,073 153,220 76,610 38,305 114,916 57,458 28,729 86,188 43,094 21,547 64,642 32,321 96,964 48,482 24,241 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557

More profiles

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