λ
Harmonic Matrix

6,008,691

3 × 13 × 43 × 3583
Deficient Odd Composite

6,008,691 has digital root 3. The neighboring primes are 6008687 and 6008707; its proper-divisor sum differs from the starting integer by -3,186,406.

Prime Factor Structure

Factorization String 3 × 13 × 43 × 3583
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,830,976
Proper Divisor Sum 2,822,285
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6008687 ← → #6008707

Radix Representation

Decimal 6008691
Binary 10110111010111101110011 (23 bits)
Octal 0o26727563
Hexadecimal 0x5BAF73

Divisor Catalog (16)

1 3 13 39 43 129 559 1,677 3,583 10,749 46,579 139,737 154,069 462,207 2,002,897 6,008,691

Collatz Trajectory (258 steps to reach 1)

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

6,008,691 18,026,074 9,013,037 27,039,112 13,519,556 6,759,778 3,379,889 10,139,668 5,069,834 2,534,917 7,604,752 3,802,376 1,901,188 950,594 475,297 1,425,892 712,946 356,473 1,069,420 534,710 267,355 802,066 401,033 1,203,100 601,550 300,775 902,326 451,163 1,353,490 676,745 2,030,236 1,015,118 507,559 1,522,678 761,339 2,284,018 1,142,009 3,426,028 1,713,014 856,507 2,569,522 1,284,761 3,854,284 1,927,142 963,571 2,890,714 1,445,357 4,336,072 2,168,036 1,084,018 542,009 1,626,028 813,014 406,507 1,219,522 609,761 1,829,284 914,642 457,321 1,371,964

More profiles

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