λ
Harmonic Matrix

8,635,607

8635607
Deficient Odd Prime

8,635,607 has digital root 8. The neighboring primes are 8635579 and 8635621; its proper-divisor sum differs from the starting integer by -8,635,606.

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Prime Factor Structure

Factorization String 8635607
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,635,608
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8635579 ← → #8635621

Radix Representation

Decimal 8635607
Binary 100000111100010011010111 (24 bits)
Octal 0o40742327
Hexadecimal 0x83C4D7

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,635,607 25,906,822 12,953,411 38,860,234 19,430,117

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