λ
Harmonic Matrix

5,440,667

2251 × 2417
Deficient Odd Composite

5,440,667 has digital root 5. The neighboring primes are 5440657 and 5440703; its proper-divisor sum differs from the starting integer by -5,435,998.

Prime Factor Structure

Factorization String 2251 × 2417
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,445,336
Proper Divisor Sum 4,669
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5440657 ← → #5440703

Radix Representation

Decimal 5440667
Binary 10100110000010010011011 (23 bits)
Octal 0o24602233
Hexadecimal 0x53049B

Divisor Catalog (4)

1 2,251 2,417 5,440,667

Collatz Trajectory (113 steps to reach 1)

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

5,440,667 16,322,002 8,161,001 24,483,004 12,241,502 6,120,751 18,362,254 9,181,127 27,543,382 13,771,691 41,315,074 20,657,537 61,972,612 30,986,306 15,493,153 46,479,460 23,239,730 11,619,865 34,859,596 17,429,798 8,714,899 26,144,698 13,072,349 39,217,048 19,608,524 9,804,262 4,902,131 14,706,394 7,353,197 22,059,592 11,029,796 5,514,898 2,757,449 8,272,348 4,136,174 2,068,087 6,204,262 3,102,131 9,306,394 4,653,197 13,959,592 6,979,796 3,489,898 1,744,949 5,234,848 2,617,424 1,308,712 654,356 327,178 163,589 490,768 245,384 122,692 61,346 30,673 92,020 46,010 23,005 69,016 34,508

More profiles

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