λ
Harmonic Matrix

7,624,697

433 × 17609
Deficient Odd Composite

7,624,697 has digital root 5. The neighboring primes are 7624691 and 7624711; its proper-divisor sum differs from the starting integer by -7,606,654.

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Prime Factor Structure

Factorization String 433 × 17609
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,642,740
Proper Divisor Sum 18,043
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7624691 ← → #7624711

Radix Representation

Decimal 7624697
Binary 11101000101011111111001 (23 bits)
Octal 0o35053771
Hexadecimal 0x7457F9

Divisor Catalog (4)

1 433 17,609 7,624,697

Collatz Trajectory (111 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.

7,624,697 22,874,092 11,437,046 5,718,523 17,155,570

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