λ
Harmonic Matrix

8,249,876

22 × 19 × 73 × 1487
Deficient Even Composite

8,249,876 has digital root 8. The neighboring primes are 8249837 and 8249881; its proper-divisor sum differs from the starting integer by -1,084,072.

Prime Factor Structure

Factorization String 2^2 × 19 × 73 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,415,680
Proper Divisor Sum 7,165,804
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8249837 ← → #8249881

Radix Representation

Decimal 8249876
Binary 11111011110001000010100 (23 bits)
Octal 0o37361024
Hexadecimal 0x7DE214

Divisor Catalog (24)

1 2 4 19 38 73 76 146 292 1,387 1,487 2,774 2,974 5,548 5,948 28,253 56,506 108,551 113,012 217,102 434,204 2,062,469 4,124,938 8,249,876

Collatz Trajectory (106 steps to reach 1)

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

8,249,876 4,124,938 2,062,469 6,187,408 3,093,704 1,546,852 773,426 386,713 1,160,140 580,070 290,035 870,106 435,053 1,305,160 652,580 326,290 163,145 489,436 244,718 122,359 367,078 183,539 550,618 275,309 825,928 412,964 206,482 103,241 309,724 154,862 77,431 232,294 116,147 348,442 174,221 522,664 261,332 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728

More profiles

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