λ
Harmonic Matrix

9,496,572

22 × 3 × 292 × 941
Abundant Even Composite

9,496,572 has digital root 6. The neighboring primes are 9496559 and 9496573; its proper-divisor sum differs from the starting integer by 3,980,352.

Prime Factor Structure

Factorization String 2^2 × 3 × 29^2 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,973,496
Proper Divisor Sum 13,476,924
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9496559 ← → #9496573

Radix Representation

Decimal 9496572
Binary 100100001110011111111100 (24 bits)
Octal 0o44163774
Hexadecimal 0x90E7FC

Divisor Catalog (36)

1 2 3 4 6 12 29 58 87 116 174 348 841 941 1,682 1,882 2,523 2,823 3,364 3,764 5,046 5,646 10,092 11,292 27,289 54,578 81,867 109,156 163,734 327,468 791,381 1,582,762 2,374,143 3,165,524 4,748,286 9,496,572

Collatz Trajectory (124 steps to reach 1)

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

9,496,572 4,748,286 2,374,143 7,122,430 3,561,215 10,683,646 5,341,823 16,025,470 8,012,735 24,038,206 12,019,103 36,057,310 18,028,655 54,085,966 27,042,983 81,128,950 40,564,475 121,693,426 60,846,713 182,540,140 91,270,070 45,635,035 136,905,106 68,452,553 205,357,660 102,678,830 51,339,415 154,018,246 77,009,123 231,027,370 115,513,685 346,541,056 173,270,528 86,635,264 43,317,632 21,658,816 10,829,408 5,414,704 2,707,352 1,353,676 676,838 338,419 1,015,258 507,629 1,522,888 761,444 380,722 190,361 571,084 285,542 142,771 428,314 214,157 642,472 321,236 160,618 80,309 240,928 120,464 60,232

More profiles

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