λ
Harmonic Matrix

5,440,679

181 × 30059
Deficient Odd Composite

5,440,679 has digital root 8. The neighboring primes are 5440657 and 5440703; its proper-divisor sum differs from the starting integer by -5,410,438.

Prime Factor Structure

Factorization String 181 × 30059
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,470,920
Proper Divisor Sum 30,241
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5440657 ← → #5440703

Radix Representation

Decimal 5440679
Binary 10100110000010010100111 (23 bits)
Octal 0o24602247
Hexadecimal 0x5304A7

Divisor Catalog (4)

1 181 30,059 5,440,679

Collatz Trajectory (338 steps to reach 1)

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

5,440,679 16,322,038 8,161,019 24,483,058 12,241,529 36,724,588 18,362,294 9,181,147 27,543,442 13,771,721 41,315,164 20,657,582 10,328,791 30,986,374 15,493,187 46,479,562 23,239,781 69,719,344 34,859,672 17,429,836 8,714,918 4,357,459 13,072,378 6,536,189 19,608,568 9,804,284 4,902,142 2,451,071 7,353,214 3,676,607 11,029,822 5,514,911 16,544,734 8,272,367 24,817,102 12,408,551 37,225,654 18,612,827 55,838,482 27,919,241 83,757,724 41,878,862 20,939,431 62,818,294 31,409,147 94,227,442 47,113,721 141,341,164 70,670,582 35,335,291 106,005,874 53,002,937 159,008,812 79,504,406 39,752,203 119,256,610 59,628,305 178,884,916 89,442,458 44,721,229

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