λ
Harmonic Matrix

7,272,404

22 × 47 × 101 × 383
Deficient Even Composite

7,272,404 has digital root 8. The neighboring primes are 7272373 and 7272409; its proper-divisor sum differs from the starting integer by -1,384,360.

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Prime Factor Structure

Factorization String 2^2 × 47 × 101 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,160,448
Proper Divisor Sum 5,888,044
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7272373 ← → #7272409

Radix Representation

Decimal 7272404
Binary 11011101111011111010100 (23 bits)
Octal 0o33573724
Hexadecimal 0x6EF7D4

Divisor Catalog (5 of 24)

1 2 4 47 94

Collatz Trajectory (204 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.

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