3,989,097

3² × 7 × 23 × 2753

3,989,097 factors as 3^2 × 7 × 23 × 2753. Its 24 positive divisors give a proper-divisor sum of 2,884,887, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,873,984

Proper Divisor Sum 2,884,887

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3989093 ← → #3989119

Radix Representation

Decimal	3989097
Binary	1111001101111001101001 (22 bits)
Octal	0o17157151
Hexadecimal	0x3CDE69

Divisor Catalog (24)

Collatz Trajectory (115 steps to reach 1)

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

3,989,097 11,967,292 5,983,646 2,991,823 8,975,470 4,487,735 13,463,206 6,731,603 20,194,810 10,097,405 30,292,216 15,146,108 7,573,054 3,786,527 11,359,582 5,679,791 17,039,374 8,519,687 25,559,062 12,779,531 38,338,594 19,169,297 57,507,892 28,753,946 14,376,973 43,130,920 21,565,460 10,782,730 5,391,365 16,174,096 8,087,048 4,043,524 2,021,762 1,010,881 3,032,644 1,516,322 758,161 2,274,484 1,137,242 568,621 1,705,864 852,932 426,466 213,233 639,700 319,850 159,925 479,776 239,888 119,944 59,972 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217

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