λ
Harmonic Matrix

9,374,766

2 × 3 × 443 × 3527
Abundant Even Composite

9,374,766 has digital root 6. The neighboring primes are 9374749 and 9374779; its proper-divisor sum differs from the starting integer by 47,652.

Prime Factor Structure

Factorization String 2 × 3 × 443 × 3527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,797,184
Proper Divisor Sum 9,422,418
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9374749 ← → #9374779

Radix Representation

Decimal 9374766
Binary 100011110000110000101110 (24 bits)
Octal 0o43606056
Hexadecimal 0x8F0C2E

Divisor Catalog (16)

1 2 3 6 443 886 1,329 2,658 3,527 7,054 10,581 21,162 1,562,461 3,124,922 4,687,383 9,374,766

Collatz Trajectory (207 steps to reach 1)

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

9,374,766 4,687,383 14,062,150 7,031,075 21,093,226 10,546,613 31,639,840 15,819,920 7,909,960 3,954,980 1,977,490 988,745 2,966,236 1,483,118 741,559 2,224,678 1,112,339 3,337,018 1,668,509 5,005,528 2,502,764 1,251,382 625,691 1,877,074 938,537 2,815,612 1,407,806 703,903 2,111,710 1,055,855 3,167,566 1,583,783 4,751,350 2,375,675 7,127,026 3,563,513 10,690,540 5,345,270 2,672,635 8,017,906 4,008,953 12,026,860 6,013,430 3,006,715 9,020,146 4,510,073 13,530,220 6,765,110 3,382,555 10,147,666 5,073,833 15,221,500 7,610,750 3,805,375 11,416,126 5,708,063 17,124,190 8,562,095 25,686,286 12,843,143

More profiles

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