λ
Harmonic Matrix

9,007,961

9007961
Deficient Odd Prime

9,007,961 has digital root 5. The neighboring primes are 9007939 and 9007979; its proper-divisor sum differs from the starting integer by -9,007,960.

Prime Factor Structure

Factorization String 9007961
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,007,962
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9007939 ← → #9007979

Radix Representation

Decimal 9007961
Binary 100010010111001101011001 (24 bits)
Octal 0o42271531
Hexadecimal 0x897359

Divisor Catalog (2)

Collatz Trajectory (88 steps to reach 1)

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

9,007,961 27,023,884 13,511,942 6,755,971 20,267,914 10,133,957 30,401,872 15,200,936 7,600,468 3,800,234 1,900,117 5,700,352 2,850,176 1,425,088 712,544 356,272 178,136 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588

More profiles

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