λ
Harmonic Matrix

9,622,610

2 × 5 × 971 × 991
Deficient Even Composite

9,622,610 has digital root 8. The neighboring primes are 9622609 and 9622619; its proper-divisor sum differs from the starting integer by -1,889,188.

Prime Factor Structure

Factorization String 2 × 5 × 971 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,356,032
Proper Divisor Sum 7,733,422
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9622609 ← → #9622619

Radix Representation

Decimal 9622610
Binary 100100101101010001010010 (24 bits)
Octal 0o44552122
Hexadecimal 0x92D452

Divisor Catalog (16)

1 2 5 10 971 991 1,942 1,982 4,855 4,955 9,710 9,910 962,261 1,924,522 4,811,305 9,622,610

Collatz Trajectory (269 steps to reach 1)

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

9,622,610 4,811,305 14,433,916 7,216,958 3,608,479 10,825,438 5,412,719 16,238,158 8,119,079 24,357,238 12,178,619 36,535,858 18,267,929 54,803,788 27,401,894 13,700,947 41,102,842 20,551,421 61,654,264 30,827,132 15,413,566 7,706,783 23,120,350 11,560,175 34,680,526 17,340,263 52,020,790 26,010,395 78,031,186 39,015,593 117,046,780 58,523,390 29,261,695 87,785,086 43,892,543 131,677,630 65,838,815 197,516,446 98,758,223 296,274,670 148,137,335 444,412,006 222,206,003 666,618,010 333,309,005 999,927,016 499,963,508 249,981,754 124,990,877 374,972,632 187,486,316 93,743,158 46,871,579 140,614,738 70,307,369 210,922,108 105,461,054 52,730,527 158,191,582 79,095,791

More profiles

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