λ
Harmonic Matrix

9,621,035

5 × 43 × 73 × 613
Deficient Odd Composite

9,621,035 has digital root 8. The neighboring primes are 9620993 and 9621043; its proper-divisor sum differs from the starting integer by -7,246,966.

Prime Factor Structure

Factorization String 5 × 43 × 73 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,995,104
Proper Divisor Sum 2,374,069
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9620993 ← → #9621043

Radix Representation

Decimal 9621035
Binary 100100101100111000101011 (24 bits)
Octal 0o44547053
Hexadecimal 0x92CE2B

Divisor Catalog (16)

1 5 43 73 215 365 613 3,065 3,139 15,695 26,359 44,749 131,795 223,745 1,924,207 9,621,035

Collatz Trajectory (93 steps to reach 1)

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

9,621,035 28,863,106 14,431,553 43,294,660 21,647,330 10,823,665 32,470,996 16,235,498 8,117,749 24,353,248 12,176,624 6,088,312 3,044,156 1,522,078 761,039 2,283,118 1,141,559 3,424,678 1,712,339 5,137,018 2,568,509 7,705,528 3,852,764 1,926,382 963,191 2,889,574 1,444,787 4,334,362 2,167,181 6,501,544 3,250,772 1,625,386 812,693 2,438,080 1,219,040 609,520 304,760 152,380 76,190 38,095 114,286 57,143 171,430 85,715 257,146 128,573 385,720 192,860 96,430 48,215 144,646 72,323 216,970 108,485 325,456 162,728 81,364 40,682 20,341 61,024

More profiles

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