λ
Harmonic Matrix

8,446,303

8446303
Deficient Odd Prime

8,446,303 has digital root 1. The neighboring primes are 8446283 and 8446351; its proper-divisor sum differs from the starting integer by -8,446,302.

Prime Factor Structure

Factorization String 8446303
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,446,304
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8446283 ← → #8446351

Radix Representation

Decimal 8446303
Binary 100000001110000101011111 (24 bits)
Octal 0o40160537
Hexadecimal 0x80E15F

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,446,303 25,338,910 12,669,455 38,008,366 19,004,183 57,012,550 28,506,275 85,518,826 42,759,413 128,278,240 64,139,120 32,069,560 16,034,780 8,017,390 4,008,695 12,026,086 6,013,043 18,039,130 9,019,565 27,058,696 13,529,348 6,764,674 3,382,337 10,147,012 5,073,506 2,536,753 7,610,260 3,805,130 1,902,565 5,707,696 2,853,848 1,426,924 713,462 356,731 1,070,194 535,097 1,605,292 802,646 401,323 1,203,970 601,985 1,805,956 902,978 451,489 1,354,468 677,234 338,617 1,015,852 507,926 253,963 761,890 380,945 1,142,836 571,418 285,709 857,128 428,564 214,282 107,141 321,424

More profiles

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