λ
Harmonic Matrix

6,118,590

2 × 3 × 5 × 203953
Abundant Even Composite

6,118,590 has digital root 3. The neighboring primes are 6118573 and 6118591; its proper-divisor sum differs from the starting integer by 2,447,508.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 203953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,684,688
Proper Divisor Sum 8,566,098
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6118573 ← → #6118591

Radix Representation

Decimal 6118590
Binary 10111010101110010111110 (23 bits)
Octal 0o27256276
Hexadecimal 0x5D5CBE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 203,953 407,906 611,859 1,019,765 1,223,718 2,039,530 3,059,295 6,118,590

Collatz Trajectory (108 steps to reach 1)

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

6,118,590 3,059,295 9,177,886 4,588,943 13,766,830 6,883,415 20,650,246 10,325,123 30,975,370 15,487,685 46,463,056 23,231,528 11,615,764 5,807,882 2,903,941 8,711,824 4,355,912 2,177,956 1,088,978 544,489 1,633,468 816,734 408,367 1,225,102 612,551 1,837,654 918,827 2,756,482 1,378,241 4,134,724 2,067,362 1,033,681 3,101,044 1,550,522 775,261 2,325,784 1,162,892 581,446 290,723 872,170 436,085 1,308,256 654,128 327,064 163,532 81,766 40,883 122,650 61,325 183,976 91,988 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078

More profiles

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