10,307,331

3⁸ × 1571

10,307,331 factors as 3^8 × 1571. Its 18 positive divisors give a proper-divisor sum of 5,162,721, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^8 × 1571

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,470,052

Proper Divisor Sum 5,162,721

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10307327 ← → #10307351

Radix Representation

Decimal	10307331
Binary	100111010100011100000011 (24 bits)
Octal	0o47243403
Hexadecimal	0x9D4703

Divisor Catalog (18)

1 3 9 27 81 243 729 1,571 2,187 4,713 6,561 14,139 42,417 127,251 381,753 1,145,259 3,435,777 10,307,331

Collatz Trajectory (189 steps to reach 1)

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

10,307,331 30,921,994 15,460,997 46,382,992 23,191,496 11,595,748 5,797,874 2,898,937 8,696,812 4,348,406 2,174,203 6,522,610 3,261,305 9,783,916 4,891,958 2,445,979 7,337,938 3,668,969 11,006,908 5,503,454 2,751,727 8,255,182 4,127,591 12,382,774 6,191,387 18,574,162 9,287,081 27,861,244 13,930,622 6,965,311 20,895,934 10,447,967 31,343,902 15,671,951 47,015,854 23,507,927 70,523,782 35,261,891 105,785,674 52,892,837 158,678,512 79,339,256 39,669,628 19,834,814 9,917,407 29,752,222 14,876,111 44,628,334 22,314,167 66,942,502 33,471,251 100,413,754 50,206,877 150,620,632 75,310,316 37,655,158 18,827,579 56,482,738 28,241,369 84,724,108

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