λ
Harmonic Matrix

6,003,607

6003607
Deficient Odd Prime

6,003,607 has digital root 4. The neighboring primes are 6003581 and 6003623; its proper-divisor sum differs from the starting integer by -6,003,606.

Prime Factor Structure

Factorization String 6003607
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,003,608
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6003581 ← → #6003623

Radix Representation

Decimal 6003607
Binary 10110111001101110010111 (23 bits)
Octal 0o26715627
Hexadecimal 0x5B9B97

Divisor Catalog (2)

Collatz Trajectory (90 steps to reach 1)

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

6,003,607 18,010,822 9,005,411 27,016,234 13,508,117 40,524,352 20,262,176 10,131,088 5,065,544 2,532,772 1,266,386 633,193 1,899,580 949,790 474,895 1,424,686 712,343 2,137,030 1,068,515 3,205,546 1,602,773 4,808,320 2,404,160 1,202,080 601,040 300,520 150,260 75,130 37,565 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058

More profiles

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