λ
Harmonic Matrix

9,997,367

9997367
Deficient Odd Prime

9,997,367 has digital root 5. The neighboring primes are 9997357 and 9997381; its proper-divisor sum differs from the starting integer by -9,997,366.

Prime Factor Structure

Factorization String 9997367
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,997,368
Proper Divisor Sum 1
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9997357 ← → #9997381

Radix Representation

Decimal 9997367
Binary 100110001000110000110111 (24 bits)
Octal 0o46106067
Hexadecimal 0x988C37

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

9,997,367 29,992,102 14,996,051 44,988,154 22,494,077 67,482,232 33,741,116 16,870,558 8,435,279 25,305,838 12,652,919 37,958,758 18,979,379 56,938,138 28,469,069 85,407,208 42,703,604 21,351,802 10,675,901 32,027,704 16,013,852 8,006,926 4,003,463 12,010,390 6,005,195 18,015,586 9,007,793 27,023,380 13,511,690 6,755,845 20,267,536 10,133,768 5,066,884 2,533,442 1,266,721 3,800,164 1,900,082 950,041 2,850,124 1,425,062 712,531 2,137,594 1,068,797 3,206,392 1,603,196 801,598 400,799 1,202,398 601,199 1,803,598 901,799 2,705,398 1,352,699 4,058,098 2,029,049 6,087,148 3,043,574 1,521,787 4,565,362 2,282,681

More profiles

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