λ
Harmonic Matrix

7,794,740

22 × 5 × 113 × 3449
Abundant Even Composite

7,794,740 has digital root 2. The neighboring primes are 7794737 and 7794751; its proper-divisor sum differs from the starting integer by 929,120.

Prime Factor Structure

Factorization String 2^2 × 5 × 113 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,518,600
Proper Divisor Sum 8,723,860
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7794737 ← → #7794751

Radix Representation

Decimal 7794740
Binary 11101101111000000110100 (23 bits)
Octal 0o35570064
Hexadecimal 0x76F034

Divisor Catalog (24)

1 2 4 5 10 20 113 226 452 565 1,130 2,260 3,449 6,898 13,796 17,245 34,490 68,980 389,737 779,474 1,558,948 1,948,685 3,897,370 7,794,740

Collatz Trajectory (98 steps to reach 1)

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

7,794,740 3,897,370 1,948,685 5,846,056 2,923,028 1,461,514 730,757 2,192,272 1,096,136 548,068 274,034 137,017 411,052 205,526 102,763 308,290 154,145 462,436 231,218 115,609 346,828 173,414 86,707 260,122 130,061 390,184 195,092 97,546 48,773 146,320 73,160 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248

More profiles

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