λ
Harmonic Matrix

9,528,115

5 × 1213 × 1571
Deficient Odd Composite

9,528,115 has digital root 4. The neighboring primes are 9528097 and 9528119; its proper-divisor sum differs from the starting integer by -7,605,782.

Prime Factor Structure

Factorization String 5 × 1213 × 1571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,450,448
Proper Divisor Sum 1,922,333
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9528097 ← → #9528119

Radix Representation

Decimal 9528115
Binary 100100010110001100110011 (24 bits)
Octal 0o44261463
Hexadecimal 0x916333

Divisor Catalog (8)

1 5 1,213 1,571 6,065 7,855 1,905,623 9,528,115

Collatz Trajectory (194 steps to reach 1)

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

9,528,115 28,584,346 14,292,173 42,876,520 21,438,260 10,719,130 5,359,565 16,078,696 8,039,348 4,019,674 2,009,837 6,029,512 3,014,756 1,507,378 753,689 2,261,068 1,130,534 565,267 1,695,802 847,901 2,543,704 1,271,852 635,926 317,963 953,890 476,945 1,430,836 715,418 357,709 1,073,128 536,564 268,282 134,141 402,424 201,212 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990 381,995 1,145,986 572,993 1,718,980 859,490 429,745 1,289,236 644,618 322,309 966,928 483,464 241,732 120,866 60,433

More profiles

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