λ
Harmonic Matrix

9,611,121

3 × 13 × 246439
Deficient Odd Composite

9,611,121 has digital root 3. The neighboring primes are 9611117 and 9611141; its proper-divisor sum differs from the starting integer by -5,421,602.

Prime Factor Structure

Factorization String 3 × 13 × 246439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,800,640
Proper Divisor Sum 4,189,519
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9611117 ← → #9611141

Radix Representation

Decimal 9611121
Binary 100100101010011101110001 (24 bits)
Octal 0o44523561
Hexadecimal 0x92A771

Divisor Catalog (8)

1 3 13 39 246,439 739,317 3,203,707 9,611,121

Collatz Trajectory (93 steps to reach 1)

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

9,611,121 28,833,364 14,416,682 7,208,341 21,625,024 10,812,512 5,406,256 2,703,128 1,351,564 675,782 337,891 1,013,674 506,837 1,520,512 760,256 380,128 190,064 95,032 47,516 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694

More profiles

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