λ
Harmonic Matrix

9,937,470

2 × 3 × 5 × 331249
Abundant Even Composite

9,937,470 has digital root 3. The neighboring primes are 9937441 and 9937481; its proper-divisor sum differs from the starting integer by 3,975,060.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 331249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 23,850,000
Proper Divisor Sum 13,912,530
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9937441 ← → #9937481

Radix Representation

Decimal 9937470
Binary 100101111010001000111110 (24 bits)
Octal 0o45721076
Hexadecimal 0x97A23E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 331,249 662,498 993,747 1,656,245 1,987,494 3,312,490 4,968,735 9,937,470

Collatz Trajectory (238 steps to reach 1)

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

9,937,470 4,968,735 14,906,206 7,453,103 22,359,310 11,179,655 33,538,966 16,769,483 50,308,450 25,154,225 75,462,676 37,731,338 18,865,669 56,597,008 28,298,504 14,149,252 7,074,626 3,537,313 10,611,940 5,305,970 2,652,985 7,958,956 3,979,478 1,989,739 5,969,218 2,984,609 8,953,828 4,476,914 2,238,457 6,715,372 3,357,686 1,678,843 5,036,530 2,518,265 7,554,796 3,777,398 1,888,699 5,666,098 2,833,049 8,499,148 4,249,574 2,124,787 6,374,362 3,187,181 9,561,544 4,780,772 2,390,386 1,195,193 3,585,580 1,792,790 896,395 2,689,186 1,344,593 4,033,780 2,016,890 1,008,445 3,025,336 1,512,668 756,334 378,167

More profiles

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