λ
Harmonic Matrix

8,746,243

112 × 412 × 43
Deficient Odd Composite

8,746,243 has digital root 7. The neighboring primes are 8746237 and 8746259; its proper-divisor sum differs from the starting integer by -7,409,490.

Prime Factor Structure

Factorization String 11^2 × 41^2 × 43
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,082,996
Proper Divisor Sum 1,336,753
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8746237 ← → #8746259

Radix Representation

Decimal 8746243
Binary 100001010111010100000011 (24 bits)
Octal 0o41272403
Hexadecimal 0x857503

Divisor Catalog (18)

1 11 41 43 121 451 473 1,681 1,763 4,961 5,203 18,491 19,393 72,283 203,401 213,323 795,113 8,746,243

Collatz Trajectory (212 steps to reach 1)

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

8,746,243 26,238,730 13,119,365 39,358,096 19,679,048 9,839,524 4,919,762 2,459,881 7,379,644 3,689,822 1,844,911 5,534,734 2,767,367 8,302,102 4,151,051 12,453,154 6,226,577 18,679,732 9,339,866 4,669,933 14,009,800 7,004,900 3,502,450 1,751,225 5,253,676 2,626,838 1,313,419 3,940,258 1,970,129 5,910,388 2,955,194 1,477,597 4,432,792 2,216,396 1,108,198 554,099 1,662,298 831,149 2,493,448 1,246,724 623,362 311,681 935,044 467,522 233,761 701,284 350,642 175,321 525,964 262,982 131,491 394,474 197,237 591,712 295,856 147,928 73,964 36,982 18,491 55,474

More profiles

← Previous Integer #8,746,242 Browse Full Index Next Integer #8,746,244 →