λ
Harmonic Matrix

9,379,609

97 × 96697
Deficient Odd Composite

9,379,609 has digital root 7. The neighboring primes are 9379589 and 9379613; its proper-divisor sum differs from the starting integer by -9,282,814.

Prime Factor Structure

Factorization String 97 × 96697
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,476,404
Proper Divisor Sum 96,795
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9379589 ← → #9379613

Radix Representation

Decimal 9379609
Binary 100011110001111100011001 (24 bits)
Octal 0o43617431
Hexadecimal 0x8F1F19

Divisor Catalog (4)

1 97 96,697 9,379,609

Collatz Trajectory (132 steps to reach 1)

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

9,379,609 28,138,828 14,069,414 7,034,707 21,104,122 10,552,061 31,656,184 15,828,092 7,914,046 3,957,023 11,871,070 5,935,535 17,806,606 8,903,303 26,709,910 13,354,955 40,064,866 20,032,433 60,097,300 30,048,650 15,024,325 45,072,976 22,536,488 11,268,244 5,634,122 2,817,061 8,451,184 4,225,592 2,112,796 1,056,398 528,199 1,584,598 792,299 2,376,898 1,188,449 3,565,348 1,782,674 891,337 2,674,012 1,337,006 668,503 2,005,510 1,002,755 3,008,266 1,504,133 4,512,400 2,256,200 1,128,100 564,050 282,025 846,076 423,038 211,519 634,558 317,279 951,838 475,919 1,427,758 713,879 2,141,638

More profiles

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