λ
Harmonic Matrix

7,126,259

7 × 827 × 1231
Deficient Odd Composite

7,126,259 has digital root 5. The neighboring primes are 7126253 and 7126277; its proper-divisor sum differs from the starting integer by -6,091,750.

Prime Factor Structure

Factorization String 7 × 827 × 1231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,160,768
Proper Divisor Sum 1,034,509
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7126253 ← → #7126277

Radix Representation

Decimal 7126259
Binary 11011001011110011110011 (23 bits)
Octal 0o33136363
Hexadecimal 0x6CBCF3

Divisor Catalog (8)

1 7 827 1,231 5,789 8,617 1,018,037 7,126,259

Collatz Trajectory (160 steps to reach 1)

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

7,126,259 21,378,778 10,689,389 32,068,168 16,034,084 8,017,042 4,008,521 12,025,564 6,012,782 3,006,391 9,019,174 4,509,587 13,528,762 6,764,381 20,293,144 10,146,572 5,073,286 2,536,643 7,609,930 3,804,965 11,414,896 5,707,448 2,853,724 1,426,862 713,431 2,140,294 1,070,147 3,210,442 1,605,221 4,815,664 2,407,832 1,203,916 601,958 300,979 902,938 451,469 1,354,408 677,204 338,602 169,301 507,904 253,952 126,976 63,488 31,744 15,872 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214

More profiles

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