λ
Harmonic Matrix

6,721,159

6721159
Deficient Odd Prime

6,721,159 has digital root 4. The neighboring primes are 6721157 and 6721177; its proper-divisor sum differs from the starting integer by -6,721,158.

Prime Factor Structure

Factorization String 6721159
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,721,160
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6721157 ← → #6721177

Radix Representation

Decimal 6721159
Binary 11001101000111010000111 (23 bits)
Octal 0o31507207
Hexadecimal 0x668E87

Divisor Catalog (2)

Collatz Trajectory (253 steps to reach 1)

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

6,721,159 20,163,478 10,081,739 30,245,218 15,122,609 45,367,828 22,683,914 11,341,957 34,025,872 17,012,936 8,506,468 4,253,234 2,126,617 6,379,852 3,189,926 1,594,963 4,784,890 2,392,445 7,177,336 3,588,668 1,794,334 897,167 2,691,502 1,345,751 4,037,254 2,018,627 6,055,882 3,027,941 9,083,824 4,541,912 2,270,956 1,135,478 567,739 1,703,218 851,609 2,554,828 1,277,414 638,707 1,916,122 958,061 2,874,184 1,437,092 718,546 359,273 1,077,820 538,910 269,455 808,366 404,183 1,212,550 606,275 1,818,826 909,413 2,728,240 1,364,120 682,060 341,030 170,515 511,546 255,773

More profiles

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