λ
Harmonic Matrix

9,496,764

22 × 34 × 29311
Abundant Even Composite

9,496,764 has digital root 9. The neighboring primes are 9496741 and 9496771; its proper-divisor sum differs from the starting integer by 5,833,736.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 29311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 24,827,264
Proper Divisor Sum 15,330,500
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9496741 ← → #9496771

Radix Representation

Decimal 9496764
Binary 100100001110100010111100 (24 bits)
Octal 0o44164274
Hexadecimal 0x90E8BC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 29,311 58,622 87,933 117,244 175,866 263,799 351,732 527,598 791,397 1,055,196 1,582,794 2,374,191 3,165,588 4,748,382 9,496,764

Collatz Trajectory (163 steps to reach 1)

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

9,496,764 4,748,382 2,374,191 7,122,574 3,561,287 10,683,862 5,341,931 16,025,794 8,012,897 24,038,692 12,019,346 6,009,673 18,029,020 9,014,510 4,507,255 13,521,766 6,760,883 20,282,650 10,141,325 30,423,976 15,211,988 7,605,994 3,802,997 11,408,992 5,704,496 2,852,248 1,426,124 713,062 356,531 1,069,594 534,797 1,604,392 802,196 401,098 200,549 601,648 300,824 150,412 75,206 37,603 112,810 56,405 169,216 84,608 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

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