λ
Harmonic Matrix

7,678,482

2 × 3 × 7 × 182821
Abundant Even Composite

7,678,482 has digital root 6. The neighboring primes are 7678477 and 7678507; its proper-divisor sum differs from the starting integer by 2,193,948.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 182821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,550,912
Proper Divisor Sum 9,872,430
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7678477 ← → #7678507

Radix Representation

Decimal 7678482
Binary 11101010010101000010010 (23 bits)
Octal 0o35225022
Hexadecimal 0x752A12

Divisor Catalog (16)

1 2 3 6 7 14 21 42 182,821 365,642 548,463 1,096,926 1,279,747 2,559,494 3,839,241 7,678,482

Collatz Trajectory (279 steps to reach 1)

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

7,678,482 3,839,241 11,517,724 5,758,862 2,879,431 8,638,294 4,319,147 12,957,442 6,478,721 19,436,164 9,718,082 4,859,041 14,577,124 7,288,562 3,644,281 10,932,844 5,466,422 2,733,211 8,199,634 4,099,817 12,299,452 6,149,726 3,074,863 9,224,590 4,612,295 13,836,886 6,918,443 20,755,330 10,377,665 31,132,996 15,566,498 7,783,249 23,349,748 11,674,874 5,837,437 17,512,312 8,756,156 4,378,078 2,189,039 6,567,118 3,283,559 9,850,678 4,925,339 14,776,018 7,388,009 22,164,028 11,082,014 5,541,007 16,623,022 8,311,511 24,934,534 12,467,267 37,401,802 18,700,901 56,102,704 28,051,352 14,025,676 7,012,838 3,506,419 10,519,258

More profiles

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