4,123,587

3 × 13 × 105733

4,123,587 factors as 3 × 13 × 105733. Its 8 positive divisors give a proper-divisor sum of 1,797,517, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3 × 13 × 105733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,921,104

Proper Divisor Sum 1,797,517

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4123583 ← → #4123591

Radix Representation

Decimal	4123587
Binary	1111101110101111000011 (22 bits)
Octal	0o17565703
Hexadecimal	0x3EEBC3

Divisor Catalog (8)

1 3 13 39 105,733 317,199 1,374,529 4,123,587

Collatz Trajectory (229 steps to reach 1)

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

4,123,587 12,370,762 6,185,381 18,556,144 9,278,072 4,639,036 2,319,518 1,159,759 3,479,278 1,739,639 5,218,918 2,609,459 7,828,378 3,914,189 11,742,568 5,871,284 2,935,642 1,467,821 4,403,464 2,201,732 1,100,866 550,433 1,651,300 825,650 412,825 1,238,476 619,238 309,619 928,858 464,429 1,393,288 696,644 348,322 174,161 522,484 261,242 130,621 391,864 195,932 97,966 48,983 146,950 73,475 220,426 110,213 330,640 165,320 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156

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