λ
Harmonic Matrix

9,608,901

3 × 3202967
Deficient Odd Composite

9,608,901 has digital root 6. The neighboring primes are 9608887 and 9608923; its proper-divisor sum differs from the starting integer by -6,405,930.

Prime Factor Structure

Factorization String 3 × 3202967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,811,872
Proper Divisor Sum 3,202,971
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9608887 ← → #9608923

Radix Representation

Decimal 9608901
Binary 100100101001111011000101 (24 bits)
Octal 0o44517305
Hexadecimal 0x929EC5

Divisor Catalog (4)

1 3 3,202,967 9,608,901

Collatz Trajectory (119 steps to reach 1)

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

9,608,901 28,826,704 14,413,352 7,206,676 3,603,338 1,801,669 5,405,008 2,702,504 1,351,252 675,626 337,813 1,013,440 506,720 253,360 126,680 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

More profiles

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