λ
Harmonic Matrix

6,614,017

6614017
Deficient Odd Prime

6,614,017 has digital root 7. The neighboring primes are 6613987 and 6614053; its proper-divisor sum differs from the starting integer by -6,614,016.

Prime Factor Structure

Factorization String 6614017
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,614,018
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6613987 ← → #6614053

Radix Representation

Decimal 6614017
Binary 11001001110110000000001 (23 bits)
Octal 0o31166001
Hexadecimal 0x64EC01

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

6,614,017 19,842,052 9,921,026 4,960,513 14,881,540 7,440,770 3,720,385 11,161,156 5,580,578 2,790,289 8,370,868 4,185,434 2,092,717 6,278,152 3,139,076 1,569,538 784,769 2,354,308 1,177,154 588,577 1,765,732 882,866 441,433 1,324,300 662,150 331,075 993,226 496,613 1,489,840 744,920 372,460 186,230 93,115 279,346 139,673 419,020 209,510 104,755 314,266 157,133 471,400 235,700 117,850 58,925 176,776 88,388 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956

More profiles

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