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Atlas › Integer Profiles › Node 9,753,372

9,753,372

22 × 34 × 30103
Abundant Even Composite

9,753,372 factors as 2^2 × 3^4 × 30103. Its 30 positive divisors give a proper-divisor sum of 15,744,716, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 30103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,498,088
Proper Divisor Sum 15,744,716
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9753353 ← → #9753383

Radix Representation

Decimal 9753372
Binary 100101001101001100011100 (24 bits)
Octal 0o45151434
Hexadecimal 0x94D31C

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 30,103 60,206 90,309 120,412 180,618 270,927 361,236 541,854 812,781 1,083,708 1,625,562 2,438,343 3,251,124 4,876,686 9,753,372

Collatz Trajectory (114 steps to reach 1)

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

9,753,372 4,876,686 2,438,343 7,315,030 3,657,515 10,972,546 5,486,273 16,458,820 8,229,410 4,114,705 12,344,116 6,172,058 3,086,029 9,258,088 4,629,044 2,314,522 1,157,261 3,471,784 1,735,892 867,946 433,973 1,301,920 650,960 325,480 162,740 81,370 40,685 122,056 61,028 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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