λ
Harmonic Matrix

9,726,582

2 × 3 × 1621097
Abundant Even Composite

9,726,582 has digital root 3. The neighboring primes are 9726569 and 9726617; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1621097
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,453,176
Proper Divisor Sum 9,726,594
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9726569 ← → #9726617

Radix Representation

Decimal 9726582
Binary 100101000110101001110110 (24 bits)
Octal 0o45065166
Hexadecimal 0x946A76

Divisor Catalog (8)

1 2 3 6 1,621,097 3,242,194 4,863,291 9,726,582

Collatz Trajectory (132 steps to reach 1)

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

9,726,582 4,863,291 14,589,874 7,294,937 21,884,812 10,942,406 5,471,203 16,413,610 8,206,805 24,620,416 12,310,208 6,155,104 3,077,552 1,538,776 769,388 384,694 192,347 577,042 288,521 865,564 432,782 216,391 649,174 324,587 973,762 486,881 1,460,644 730,322 365,161 1,095,484 547,742 273,871 821,614 410,807 1,232,422 616,211 1,848,634 924,317 2,772,952 1,386,476 693,238 346,619 1,039,858 519,929 1,559,788 779,894 389,947 1,169,842 584,921 1,754,764 877,382 438,691 1,316,074 658,037 1,974,112 987,056 493,528 246,764 123,382 61,691

More profiles

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