λ
Harmonic Matrix

7,374,108

22 × 3 × 72 × 12541
Abundant Even Composite

7,374,108 has digital root 3. The neighboring primes are 7374083 and 7374127; its proper-divisor sum differs from the starting integer by 5,268,816.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 12541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,017,032
Proper Divisor Sum 12,642,924
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7374083 ← → #7374127

Radix Representation

Decimal 7374108
Binary 11100001000010100011100 (23 bits)
Octal 0o34102434
Hexadecimal 0x70851C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 12,541 25,082 37,623 50,164 75,246 87,787 150,492 175,574 263,361 351,148 526,722 614,509 1,053,444 1,229,018 1,843,527 2,458,036 3,687,054 7,374,108

Collatz Trajectory (279 steps to reach 1)

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

7,374,108 3,687,054 1,843,527 5,530,582 2,765,291 8,295,874 4,147,937 12,443,812 6,221,906 3,110,953 9,332,860 4,666,430 2,333,215 6,999,646 3,499,823 10,499,470 5,249,735 15,749,206 7,874,603 23,623,810 11,811,905 35,435,716 17,717,858 8,858,929 26,576,788 13,288,394 6,644,197 19,932,592 9,966,296 4,983,148 2,491,574 1,245,787 3,737,362 1,868,681 5,606,044 2,803,022 1,401,511 4,204,534 2,102,267 6,306,802 3,153,401 9,460,204 4,730,102 2,365,051 7,095,154 3,547,577 10,642,732 5,321,366 2,660,683 7,982,050 3,991,025 11,973,076 5,986,538 2,993,269 8,979,808 4,489,904 2,244,952 1,122,476 561,238 280,619

More profiles

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