λ
Sigma Notebook

9,175,760

24 × 5 × 11 × 10427
Abundant Even Composite

9,175,760 is even and not a perfect square. Its factorization is 2^4 × 5 × 11 × 10427 and its 40 divisors sum to 23,275,296.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 10427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,275,296
Proper Divisor Sum 14,099,536
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9175753 ← → #9175787

Radix Representation

Decimal 9175760
Binary 100011000000001011010000 (24 bits)
Octal 0o43001320
Hexadecimal 0x8C02D0

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 10,427 20,854 41,708 52,135 83,416 104,270 114,697 166,832 208,540 229,394 417,080 458,788 573,485 834,160 917,576 1,146,970 1,835,152 2,293,940 4,587,880 9,175,760

Collatz Trajectory (101 steps to reach 1)

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

9,175,760 4,587,880 2,293,940 1,146,970 573,485 1,720,456 860,228 430,114 215,057 645,172 322,586 161,293 483,880 241,940 120,970 60,485 181,456 90,728 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

More profiles

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