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4,123,791

34 × 72 × 1039
Deficient Odd Composite

4,123,791 factors as 3^4 × 7^2 × 1039. Its 30 positive divisors give a proper-divisor sum of 3,049,089, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^4 × 7^2 × 1039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 7,172,880
Proper Divisor Sum 3,049,089
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4123787 ← → #4123793

Radix Representation

Decimal 4123791
Binary 1111101110110010001111 (22 bits)
Octal 0o17566217
Hexadecimal 0x3EEC8F

Divisor Catalog (30)

1 3 7 9 21 27 49 63 81 147 189 441 567 1,039 1,323 3,117 3,969 7,273 9,351 21,819 28,053 50,911 65,457 84,159 152,733 196,371 458,199 589,113 1,374,597 4,123,791

Collatz Trajectory (229 steps to reach 1)

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

4,123,791 12,371,374 6,185,687 18,557,062 9,278,531 27,835,594 13,917,797 41,753,392 20,876,696 10,438,348 5,219,174 2,609,587 7,828,762 3,914,381 11,743,144 5,871,572 2,935,786 1,467,893 4,403,680 2,201,840 1,100,920 550,460 275,230 137,615 412,846 206,423 619,270 309,635 928,906 464,453 1,393,360 696,680 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162

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