λ
Harmonic Matrix

9,639,462

2 × 3 × 7 × 37 × 6203
Abundant Even Composite

9,639,462 has digital root 3. The neighboring primes are 9639449 and 9639467; its proper-divisor sum differs from the starting integer by 3,353,268.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 6203
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,632,192
Proper Divisor Sum 12,992,730
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9639449 ← → #9639467

Radix Representation

Decimal 9639462
Binary 100100110001011000100110 (24 bits)
Octal 0o44613046
Hexadecimal 0x931626

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,554 6,203 12,406 18,609 37,218 43,421 86,842 130,263 229,511 260,526 459,022 688,533 1,377,066 1,606,577 3,213,154 4,819,731 9,639,462

Collatz Trajectory (132 steps to reach 1)

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

9,639,462 4,819,731 14,459,194 7,229,597 21,688,792 10,844,396 5,422,198 2,711,099 8,133,298 4,066,649 12,199,948 6,099,974 3,049,987 9,149,962 4,574,981 13,724,944 6,862,472 3,431,236 1,715,618 857,809 2,573,428 1,286,714 643,357 1,930,072 965,036 482,518 241,259 723,778 361,889 1,085,668 542,834 271,417 814,252 407,126 203,563 610,690 305,345 916,036 458,018 229,009 687,028 343,514 171,757 515,272 257,636 128,818 64,409 193,228 96,614 48,307 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190

More profiles

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