λ
Harmonic Matrix

9,639,570

2 × 3 × 5 × 321319
Abundant Even Composite

9,639,570 has digital root 3. The neighboring primes are 9639563 and 9639583; its proper-divisor sum differs from the starting integer by 3,855,900.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 321319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 23,135,040
Proper Divisor Sum 13,495,470
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9639563 ← → #9639583

Radix Representation

Decimal 9639570
Binary 100100110001011010010010 (24 bits)
Octal 0o44613222
Hexadecimal 0x931692

Divisor Catalog (16)

1 2 3 5 6 10 15 30 321,319 642,638 963,957 1,606,595 1,927,914 3,213,190 4,819,785 9,639,570

Collatz Trajectory (132 steps to reach 1)

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

9,639,570 4,819,785 14,459,356 7,229,678 3,614,839 10,844,518 5,422,259 16,266,778 8,133,389 24,400,168 12,200,084 6,100,042 3,050,021 9,150,064 4,575,032 2,287,516 1,143,758 571,879 1,715,638 857,819 2,573,458 1,286,729 3,860,188 1,930,094 965,047 2,895,142 1,447,571 4,342,714 2,171,357 6,514,072 3,257,036 1,628,518 814,259 2,442,778 1,221,389 3,664,168 1,832,084 916,042 458,021 1,374,064 687,032 343,516 171,758 85,879 257,638 128,819 386,458 193,229 579,688 289,844 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190

More profiles

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