λ
Harmonic Matrix

5,996,926

2 × 13 × 263 × 877
Deficient Even Composite

5,996,926 has digital root 1. The neighboring primes are 5996911 and 5996953; its proper-divisor sum differs from the starting integer by -2,258,588.

Prime Factor Structure

Factorization String 2 × 13 × 263 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,735,264
Proper Divisor Sum 3,738,338
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5996911 ← → #5996953

Radix Representation

Decimal 5996926
Binary 10110111000000101111110 (23 bits)
Octal 0o26700576
Hexadecimal 0x5B817E

Divisor Catalog (16)

1 2 13 26 263 526 877 1,754 3,419 6,838 11,401 22,802 230,651 461,302 2,998,463 5,996,926

Collatz Trajectory (139 steps to reach 1)

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

5,996,926 2,998,463 8,995,390 4,497,695 13,493,086 6,746,543 20,239,630 10,119,815 30,359,446 15,179,723 45,539,170 22,769,585 68,308,756 34,154,378 17,077,189 51,231,568 25,615,784 12,807,892 6,403,946 3,201,973 9,605,920 4,802,960 2,401,480 1,200,740 600,370 300,185 900,556 450,278 225,139 675,418 337,709 1,013,128 506,564 253,282 126,641 379,924 189,962 94,981 284,944 142,472 71,236 35,618 17,809 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057

More profiles

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