λ
Harmonic Matrix

9,100,961

9100961
Deficient Odd Prime

9,100,961 has digital root 8. The neighboring primes are 9100951 and 9100969; its proper-divisor sum differs from the starting integer by -9,100,960.

Prime Factor Structure

Factorization String 9100961
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,100,962
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9100951 ← → #9100969

Radix Representation

Decimal 9100961
Binary 100010101101111010100001 (24 bits)
Octal 0o42557241
Hexadecimal 0x8ADEA1

Divisor Catalog (2)

Collatz Trajectory (80 steps to reach 1)

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

9,100,961 27,302,884 13,651,442 6,825,721 20,477,164 10,238,582 5,119,291 15,357,874 7,678,937 23,036,812 11,518,406 5,759,203 17,277,610 8,638,805 25,916,416 12,958,208 6,479,104 3,239,552 1,619,776 809,888 404,944 202,472 101,236 50,618 25,309 75,928 37,964 18,982 9,491 28,474 14,237 42,712 21,356 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606

More profiles

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