λ
Harmonic Matrix

8,720,636

22 × 2180159
Deficient Even Composite

8,720,636 has digital root 5. The neighboring primes are 8720629 and 8720671; its proper-divisor sum differs from the starting integer by -2,180,152.

Prime Factor Structure

Factorization String 2^2 × 2180159
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 15,261,120
Proper Divisor Sum 6,540,484
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8720629 ← → #8720671

Radix Representation

Decimal 8720636
Binary 100001010001000011111100 (24 bits)
Octal 0o41210374
Hexadecimal 0x8510FC

Divisor Catalog (6)

1 2 4 2,180,159 4,360,318 8,720,636

Collatz Trajectory (106 steps to reach 1)

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

8,720,636 4,360,318 2,180,159 6,540,478 3,270,239 9,810,718 4,905,359 14,716,078 7,358,039 22,074,118 11,037,059 33,111,178 16,555,589 49,666,768 24,833,384 12,416,692 6,208,346 3,104,173 9,312,520 4,656,260 2,328,130 1,164,065 3,492,196 1,746,098 873,049 2,619,148 1,309,574 654,787 1,964,362 982,181 2,946,544 1,473,272 736,636 368,318 184,159 552,478 276,239 828,718 414,359 1,243,078 621,539 1,864,618 932,309 2,796,928 1,398,464 699,232 349,616 174,808 87,404 43,702 21,851 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313

More profiles

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