λ
Harmonic Matrix

9,222,010

2 × 5 × 7 × 131743
Abundant Even Composite

9,222,010 has digital root 7. The neighboring primes are 9222001 and 9222013; its proper-divisor sum differs from the starting integer by 527,116.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 131743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,971,136
Proper Divisor Sum 9,749,126
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #9222001 ← → #9222013

Radix Representation

Decimal 9222010
Binary 100011001011011101111010 (24 bits)
Octal 0o43133572
Hexadecimal 0x8CB77A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 131,743 263,486 658,715 922,201 1,317,430 1,844,402 4,611,005 9,222,010

Collatz Trajectory (181 steps to reach 1)

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

9,222,010 4,611,005 13,833,016 6,916,508 3,458,254 1,729,127 5,187,382 2,593,691 7,781,074 3,890,537 11,671,612 5,835,806 2,917,903 8,753,710 4,376,855 13,130,566 6,565,283 19,695,850 9,847,925 29,543,776 14,771,888 7,385,944 3,692,972 1,846,486 923,243 2,769,730 1,384,865 4,154,596 2,077,298 1,038,649 3,115,948 1,557,974 778,987 2,336,962 1,168,481 3,505,444 1,752,722 876,361 2,629,084 1,314,542 657,271 1,971,814 985,907 2,957,722 1,478,861 4,436,584 2,218,292 1,109,146 554,573 1,663,720 831,860 415,930 207,965 623,896 311,948 155,974 77,987 233,962 116,981 350,944

More profiles

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