λ
Harmonic Matrix

9,625,540

22 × 5 × 241 × 1997
Abundant Even Composite

9,625,540 has digital root 4. The neighboring primes are 9625501 and 9625579; its proper-divisor sum differs from the starting integer by 1,056,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 241 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,307,672
Proper Divisor Sum 10,682,132
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9625501 ← → #9625579

Radix Representation

Decimal 9625540
Binary 100100101101111111000100 (24 bits)
Octal 0o44557704
Hexadecimal 0x92DFC4

Divisor Catalog (24)

1 2 4 5 10 20 241 482 964 1,205 1,997 2,410 3,994 4,820 7,988 9,985 19,970 39,940 481,277 962,554 1,925,108 2,406,385 4,812,770 9,625,540

Collatz Trajectory (176 steps to reach 1)

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

9,625,540 4,812,770 2,406,385 7,219,156 3,609,578 1,804,789 5,414,368 2,707,184 1,353,592 676,796 338,398 169,199 507,598 253,799 761,398 380,699 1,142,098 571,049 1,713,148 856,574 428,287 1,284,862 642,431 1,927,294 963,647 2,890,942 1,445,471 4,336,414 2,168,207 6,504,622 3,252,311 9,756,934 4,878,467 14,635,402 7,317,701 21,953,104 10,976,552 5,488,276 2,744,138 1,372,069 4,116,208 2,058,104 1,029,052 514,526 257,263 771,790 385,895 1,157,686 578,843 1,736,530 868,265 2,604,796 1,302,398 651,199 1,953,598 976,799 2,930,398 1,465,199 4,395,598 2,197,799

More profiles

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