λ
Match Zalai

9,949,108

22 × 13 × 293 × 653
Deficient Even Composite

9,949,108 factors as 2^2 × 13 × 293 × 653. Its 24 positive divisors give a proper-divisor sum of 8,893,940, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 293 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,843,048
Proper Divisor Sum 8,893,940
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9949099 ← → #9949123

Radix Representation

Decimal 9949108
Binary 100101111100111110110100 (24 bits)
Octal 0o45747664
Hexadecimal 0x97CFB4

Divisor Catalog (24)

1 2 4 13 26 52 293 586 653 1,172 1,306 2,612 3,809 7,618 8,489 15,236 16,978 33,956 191,329 382,658 765,316 2,487,277 4,974,554 9,949,108

Collatz Trajectory (189 steps to reach 1)

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

9,949,108 4,974,554 2,487,277 7,461,832 3,730,916 1,865,458 932,729 2,798,188 1,399,094 699,547 2,098,642 1,049,321 3,147,964 1,573,982 786,991 2,360,974 1,180,487 3,541,462 1,770,731 5,312,194 2,656,097 7,968,292 3,984,146 1,992,073 5,976,220 2,988,110 1,494,055 4,482,166 2,241,083 6,723,250 3,361,625 10,084,876 5,042,438 2,521,219 7,563,658 3,781,829 11,345,488 5,672,744 2,836,372 1,418,186 709,093 2,127,280 1,063,640 531,820 265,910 132,955 398,866 199,433 598,300 299,150 149,575 448,726 224,363 673,090 336,545 1,009,636 504,818 252,409 757,228 378,614

More profiles

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