λ
Harmonic Matrix

9,384,462

2 × 32 × 521359
Abundant Even Composite

9,384,462 has digital root 9. The neighboring primes are 9384383 and 9384469; its proper-divisor sum differs from the starting integer by 1,564,116.

Prime Factor Structure

Factorization String 2 × 3^2 × 521359
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,333,040
Proper Divisor Sum 10,948,578
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9384383 ← → #9384469

Radix Representation

Decimal 9384462
Binary 100011110011001000001110 (24 bits)
Octal 0o43631016
Hexadecimal 0x8F320E

Divisor Catalog (12)

1 2 3 6 9 18 521,359 1,042,718 1,564,077 3,128,154 4,692,231 9,384,462

Collatz Trajectory (132 steps to reach 1)

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

9,384,462 4,692,231 14,076,694 7,038,347 21,115,042 10,557,521 31,672,564 15,836,282 7,918,141 23,754,424 11,877,212 5,938,606 2,969,303 8,907,910 4,453,955 13,361,866 6,680,933 20,042,800 10,021,400 5,010,700 2,505,350 1,252,675 3,758,026 1,879,013 5,637,040 2,818,520 1,409,260 704,630 352,315 1,056,946 528,473 1,585,420 792,710 396,355 1,189,066 594,533 1,783,600 891,800 445,900 222,950 111,475 334,426 167,213 501,640 250,820 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922

More profiles

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