λ
Harmonic Matrix

6,398,167

6398167
Deficient Odd Prime

6,398,167 has digital root 4. The neighboring primes are 6398159 and 6398177; its proper-divisor sum differs from the starting integer by -6,398,166.

Prime Factor Structure

Factorization String 6398167
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,398,168
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6398159 ← → #6398177

Radix Representation

Decimal 6398167
Binary 11000011010000011010111 (23 bits)
Octal 0o30320327
Hexadecimal 0x61A0D7

Divisor Catalog (2)

Collatz Trajectory (377 steps to reach 1)

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

6,398,167 19,194,502 9,597,251 28,791,754 14,395,877 43,187,632 21,593,816 10,796,908 5,398,454 2,699,227 8,097,682 4,048,841 12,146,524 6,073,262 3,036,631 9,109,894 4,554,947 13,664,842 6,832,421 20,497,264 10,248,632 5,124,316 2,562,158 1,281,079 3,843,238 1,921,619 5,764,858 2,882,429 8,647,288 4,323,644 2,161,822 1,080,911 3,242,734 1,621,367 4,864,102 2,432,051 7,296,154 3,648,077 10,944,232 5,472,116 2,736,058 1,368,029 4,104,088 2,052,044 1,026,022 513,011 1,539,034 769,517 2,308,552 1,154,276 577,138 288,569 865,708 432,854 216,427 649,282 324,641 973,924 486,962 243,481

More profiles

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