48,200,438

2 × 11 × 13 × 168533

48,200,438 factors as 2 × 11 × 13 × 168533. Its 16 positive divisors give a proper-divisor sum of 36,740,698, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 168533

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 84,941,136

Proper Divisor Sum 36,740,698

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #48200429 ← → #48200441

Radix Representation

Decimal	48200438
Binary	10110111110111101011110110 (26 bits)
Octal	0o267675366
Hexadecimal	0x2DF7AF6

Divisor Catalog (16)

1 2 11 13 22 26 143 286 168,533 337,066 1,853,863 2,190,929 3,707,726 4,381,858 24,100,219 48,200,438

Collatz Trajectory (168 steps to reach 1)

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

48,200,438 24,100,219 72,300,658 36,150,329 108,450,988 54,225,494 27,112,747 81,338,242 40,669,121 122,007,364 61,003,682 30,501,841 91,505,524 45,752,762 22,876,381 68,629,144 34,314,572 17,157,286 8,578,643 25,735,930 12,867,965 38,603,896 19,301,948 9,650,974 4,825,487 14,476,462 7,238,231 21,714,694 10,857,347 32,572,042 16,286,021 48,858,064 24,429,032 12,214,516 6,107,258 3,053,629 9,160,888 4,580,444 2,290,222 1,145,111 3,435,334 1,717,667 5,153,002 2,576,501 7,729,504 3,864,752 1,932,376 966,188 483,094 241,547 724,642 362,321 1,086,964 543,482 271,741 815,224 407,612 203,806 101,903 305,710

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