λ
Harmonic Matrix

8,524,482

2 × 3 × 883 × 1609
Abundant Even Composite

8,524,482 has digital root 6. The neighboring primes are 8524441 and 8524487; its proper-divisor sum differs from the starting integer by 29,916.

Prime Factor Structure

Factorization String 2 × 3 × 883 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,078,880
Proper Divisor Sum 8,554,398
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8524441 ← → #8524487

Radix Representation

Decimal 8524482
Binary 100000100001001011000010 (24 bits)
Octal 0o40411302
Hexadecimal 0x8212C2

Divisor Catalog (16)

1 2 3 6 883 1,609 1,766 2,649 3,218 4,827 5,298 9,654 1,420,747 2,841,494 4,262,241 8,524,482

Collatz Trajectory (243 steps to reach 1)

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

8,524,482 4,262,241 12,786,724 6,393,362 3,196,681 9,590,044 4,795,022 2,397,511 7,192,534 3,596,267 10,788,802 5,394,401 16,183,204 8,091,602 4,045,801 12,137,404 6,068,702 3,034,351 9,103,054 4,551,527 13,654,582 6,827,291 20,481,874 10,240,937 30,722,812 15,361,406 7,680,703 23,042,110 11,521,055 34,563,166 17,281,583 51,844,750 25,922,375 77,767,126 38,883,563 116,650,690 58,325,345 174,976,036 87,488,018 43,744,009 131,232,028 65,616,014 32,808,007 98,424,022 49,212,011 147,636,034 73,818,017 221,454,052 110,727,026 55,363,513 166,090,540 83,045,270 41,522,635 124,567,906 62,283,953 186,851,860 93,425,930 46,712,965 140,138,896 70,069,448

More profiles

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