λ
Harmonic Matrix

8,842,473

33 × 327499
Deficient Odd Composite

8,842,473 has digital root 9. The neighboring primes are 8842453 and 8842487; its proper-divisor sum differs from the starting integer by -4,584,946.

Prime Factor Structure

Factorization String 3^3 × 327499
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,100,000
Proper Divisor Sum 4,257,527
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8842453 ← → #8842487

Radix Representation

Decimal 8842473
Binary 100001101110110011101001 (24 bits)
Octal 0o41566351
Hexadecimal 0x86ECE9

Divisor Catalog (8)

1 3 9 27 327,499 982,497 2,947,491 8,842,473

Collatz Trajectory (137 steps to reach 1)

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

8,842,473 26,527,420 13,263,710 6,631,855 19,895,566 9,947,783 29,843,350 14,921,675 44,765,026 22,382,513 67,147,540 33,573,770 16,786,885 50,360,656 25,180,328 12,590,164 6,295,082 3,147,541 9,442,624 4,721,312 2,360,656 1,180,328 590,164 295,082 147,541 442,624 221,312 110,656 55,328 27,664 13,832 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263

More profiles

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