λ
Harmonic Matrix

8,049,320

23 × 5 × 201233
Abundant Even Composite

8,049,320 has digital root 8. The neighboring primes are 8049317 and 8049373; its proper-divisor sum differs from the starting integer by 2,012,420.

Prime Factor Structure

Factorization String 2^3 × 5 × 201233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,111,060
Proper Divisor Sum 10,061,740
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8049317 ← → #8049373

Radix Representation

Decimal 8049320
Binary 11110101101001010101000 (23 bits)
Octal 0o36551250
Hexadecimal 0x7AD2A8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 201,233 402,466 804,932 1,006,165 1,609,864 2,012,330 4,024,660 8,049,320

Collatz Trajectory (93 steps to reach 1)

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

8,049,320 4,024,660 2,012,330 1,006,165 3,018,496 1,509,248 754,624 377,312 188,656 94,328 47,164 23,582 11,791 35,374 17,687 53,062 26,531 79,594 39,797 119,392 59,696 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

More profiles

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