λ
Sigma Notebook

9,730,480

24 × 5 × 121631
Abundant Even Composite

9,730,480 is even and not a perfect square. Its factorization is 2^4 × 5 × 121631 and its 20 divisors sum to 22,623,552.

Prime Factor Structure

Factorization String 2^4 × 5 × 121631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 22,623,552
Proper Divisor Sum 12,893,072
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9730471 ← → #9730493

Radix Representation

Decimal 9730480
Binary 100101000111100110110000 (24 bits)
Octal 0o45074660
Hexadecimal 0x9479B0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 121,631 243,262 486,524 608,155 973,048 1,216,310 1,946,096 2,432,620 4,865,240 9,730,480

Collatz Trajectory (238 steps to reach 1)

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

9,730,480 4,865,240 2,432,620 1,216,310 608,155 1,824,466 912,233 2,736,700 1,368,350 684,175 2,052,526 1,026,263 3,078,790 1,539,395 4,618,186 2,309,093 6,927,280 3,463,640 1,731,820 865,910 432,955 1,298,866 649,433 1,948,300 974,150 487,075 1,461,226 730,613 2,191,840 1,095,920 547,960 273,980 136,990 68,495 205,486 102,743 308,230 154,115 462,346 231,173 693,520 346,760 173,380 86,690 43,345 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721

More profiles

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