λ
Harmonic Matrix

9,904,201

9904201
Deficient Odd Prime

9,904,201 has digital root 7. The neighboring primes are 9904199 and 9904207; its proper-divisor sum differs from the starting integer by -9,904,200.

Prime Factor Structure

Factorization String 9904201
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,904,202
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9904199 ← → #9904207

Radix Representation

Decimal 9904201
Binary 100101110010000001001001 (24 bits)
Octal 0o45620111
Hexadecimal 0x972049

Divisor Catalog (2)

1 9,904,201

Collatz Trajectory (163 steps to reach 1)

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

9,904,201 29,712,604 14,856,302 7,428,151 22,284,454 11,142,227 33,426,682 16,713,341 50,140,024 25,070,012 12,535,006 6,267,503 18,802,510 9,401,255 28,203,766 14,101,883 42,305,650 21,152,825 63,458,476 31,729,238 15,864,619 47,593,858 23,796,929 71,390,788 35,695,394 17,847,697 53,543,092 26,771,546 13,385,773 40,157,320 20,078,660 10,039,330 5,019,665 15,058,996 7,529,498 3,764,749 11,294,248 5,647,124 2,823,562 1,411,781 4,235,344 2,117,672 1,058,836 529,418 264,709 794,128 397,064 198,532 99,266 49,633 148,900 74,450 37,225 111,676 55,838 27,919 83,758 41,879 125,638 62,819

More profiles

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