λ
Harmonic Matrix

6,438,526

2 × 1259 × 2557
Deficient Even Composite

6,438,526 has digital root 7. The neighboring primes are 6438463 and 6438539; its proper-divisor sum differs from the starting integer by -3,207,812.

Prime Factor Structure

Factorization String 2 × 1259 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,669,240
Proper Divisor Sum 3,230,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6438463 ← → #6438539

Radix Representation

Decimal 6438526
Binary 11000100011111001111110 (23 bits)
Octal 0o30437176
Hexadecimal 0x623E7E

Divisor Catalog (8)

1 2 1,259 2,518 2,557 5,114 3,219,263 6,438,526

Collatz Trajectory (227 steps to reach 1)

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

6,438,526 3,219,263 9,657,790 4,828,895 14,486,686 7,243,343 21,730,030 10,865,015 32,595,046 16,297,523 48,892,570 24,446,285 73,338,856 36,669,428 18,334,714 9,167,357 27,502,072 13,751,036 6,875,518 3,437,759 10,313,278 5,156,639 15,469,918 7,734,959 23,204,878 11,602,439 34,807,318 17,403,659 52,210,978 26,105,489 78,316,468 39,158,234 19,579,117 58,737,352 29,368,676 14,684,338 7,342,169 22,026,508 11,013,254 5,506,627 16,519,882 8,259,941 24,779,824 12,389,912 6,194,956 3,097,478 1,548,739 4,646,218 2,323,109 6,969,328 3,484,664 1,742,332 871,166 435,583 1,306,750 653,375 1,960,126 980,063 2,940,190 1,470,095

More profiles

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