4,123,563

3 × 79 × 127 × 137

4,123,563 factors as 3 × 79 × 127 × 137. Its 16 positive divisors give a proper-divisor sum of 1,528,917, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 79 × 127 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,652,480

Proper Divisor Sum 1,528,917

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4123547 ← → #4123583

Radix Representation

Decimal	4123563
Binary	1111101110101110101011 (22 bits)
Octal	0o17565653
Hexadecimal	0x3EEBAB

Divisor Catalog (16)

1 3 79 127 137 237 381 411 10,033 10,823 17,399 30,099 32,469 52,197 1,374,521 4,123,563

Collatz Trajectory (105 steps to reach 1)

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

4,123,563 12,370,690 6,185,345 18,556,036 9,278,018 4,639,009 13,917,028 6,958,514 3,479,257 10,437,772 5,218,886 2,609,443 7,828,330 3,914,165 11,742,496 5,871,248 2,935,624 1,467,812 733,906 366,953 1,100,860 550,430 275,215 825,646 412,823 1,238,470 619,235 1,857,706 928,853 2,786,560 1,393,280 696,640 348,320 174,160 87,080 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364

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