λ
Harmonic Matrix

5,306,979

3 × 1768993
Deficient Odd Composite

5,306,979 has digital root 3. The neighboring primes are 5306963 and 5306989; its proper-divisor sum differs from the starting integer by -3,537,982.

Prime Factor Structure

Factorization String 3 × 1768993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,075,976
Proper Divisor Sum 1,768,997
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5306963 ← → #5306989

Radix Representation

Decimal 5306979
Binary 10100001111101001100011 (23 bits)
Octal 0o24175143
Hexadecimal 0x50FA63

Divisor Catalog (4)

1 3 1,768,993 5,306,979

Collatz Trajectory (188 steps to reach 1)

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

5,306,979 15,920,938 7,960,469 23,881,408 11,940,704 5,970,352 2,985,176 1,492,588 746,294 373,147 1,119,442 559,721 1,679,164 839,582 419,791 1,259,374 629,687 1,889,062 944,531 2,833,594 1,416,797 4,250,392 2,125,196 1,062,598 531,299 1,593,898 796,949 2,390,848 1,195,424 597,712 298,856 149,428 74,714 37,357 112,072 56,036 28,018 14,009 42,028 21,014 10,507 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614

More profiles

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