λ
Harmonic Matrix

7,325,689

7 × 1046527
Deficient Odd Composite

7,325,689 has digital root 4. The neighboring primes are 7325683 and 7325693; its proper-divisor sum differs from the starting integer by -6,279,154.

Prime Factor Structure

Factorization String 7 × 1046527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,372,224
Proper Divisor Sum 1,046,535
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7325683 ← → #7325693

Radix Representation

Decimal 7325689
Binary 11011111100011111111001 (23 bits)
Octal 0o33743771
Hexadecimal 0x6FC7F9

Divisor Catalog (4)

1 7 1,046,527 7,325,689

Collatz Trajectory (217 steps to reach 1)

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

7,325,689 21,977,068 10,988,534 5,494,267 16,482,802 8,241,401 24,724,204 12,362,102 6,181,051 18,543,154 9,271,577 27,814,732 13,907,366 6,953,683 20,861,050 10,430,525 31,291,576 15,645,788 7,822,894 3,911,447 11,734,342 5,867,171 17,601,514 8,800,757 26,402,272 13,201,136 6,600,568 3,300,284 1,650,142 825,071 2,475,214 1,237,607 3,712,822 1,856,411 5,569,234 2,784,617 8,353,852 4,176,926 2,088,463 6,265,390 3,132,695 9,398,086 4,699,043 14,097,130 7,048,565 21,145,696 10,572,848 5,286,424 2,643,212 1,321,606 660,803 1,982,410 991,205 2,973,616 1,486,808 743,404 371,702 185,851 557,554 278,777

More profiles

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