λ
Harmonic Matrix

9,418,388

22 × 72 × 29 × 1657
Abundant Even Composite

9,418,388 has digital root 5. The neighboring primes are 9418369 and 9418399; its proper-divisor sum differs from the starting integer by 1,009,484.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 29 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,846,260
Proper Divisor Sum 10,427,872
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9418369 ← → #9418399

Radix Representation

Decimal 9418388
Binary 100011111011011010010100 (24 bits)
Octal 0o43733224
Hexadecimal 0x8FB694

Divisor Catalog (36)

1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1,421 1,657 2,842 3,314 5,684 6,628 11,599 23,198 46,396 48,053 81,193 96,106 162,386 192,212 324,772 336,371 672,742 1,345,484 2,354,597 4,709,194 9,418,388

Collatz Trajectory (132 steps to reach 1)

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

9,418,388 4,709,194 2,354,597 7,063,792 3,531,896 1,765,948 882,974 441,487 1,324,462 662,231 1,986,694 993,347 2,980,042 1,490,021 4,470,064 2,235,032 1,117,516 558,758 279,379 838,138 419,069 1,257,208 628,604 314,302 157,151 471,454 235,727 707,182 353,591 1,060,774 530,387 1,591,162 795,581 2,386,744 1,193,372 596,686 298,343 895,030 447,515 1,342,546 671,273 2,013,820 1,006,910 503,455 1,510,366 755,183 2,265,550 1,132,775 3,398,326 1,699,163 5,097,490 2,548,745 7,646,236 3,823,118 1,911,559 5,734,678 2,867,339 8,602,018 4,301,009 12,903,028

More profiles

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