λ
Harmonic Matrix

5,840,979

3 × 172 × 6737
Deficient Odd Composite

5,840,979 has digital root 6. The neighboring primes are 5840969 and 5840987; its proper-divisor sum differs from the starting integer by -3,407,694.

Prime Factor Structure

Factorization String 3 × 17^2 × 6737
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,274,264
Proper Divisor Sum 2,433,285
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5840969 ← → #5840987

Radix Representation

Decimal 5840979
Binary 10110010010000001010011 (23 bits)
Octal 0o26220123
Hexadecimal 0x592053

Divisor Catalog (12)

1 3 17 51 289 867 6,737 20,211 114,529 343,587 1,946,993 5,840,979

Collatz Trajectory (175 steps to reach 1)

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

5,840,979 17,522,938 8,761,469 26,284,408 13,142,204 6,571,102 3,285,551 9,856,654 4,928,327 14,784,982 7,392,491 22,177,474 11,088,737 33,266,212 16,633,106 8,316,553 24,949,660 12,474,830 6,237,415 18,712,246 9,356,123 28,068,370 14,034,185 42,102,556 21,051,278 10,525,639 31,576,918 15,788,459 47,365,378 23,682,689 71,048,068 35,524,034 17,762,017 53,286,052 26,643,026 13,321,513 39,964,540 19,982,270 9,991,135 29,973,406 14,986,703 44,960,110 22,480,055 67,440,166 33,720,083 101,160,250 50,580,125 151,740,376 75,870,188 37,935,094 18,967,547 56,902,642 28,451,321 85,353,964 42,676,982 21,338,491 64,015,474 32,007,737 96,023,212 48,011,606

More profiles

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