15,123,688

2³ × 131 × 14431

15,123,688 factors as 2^3 × 131 × 14431. Its 16 positive divisors give a proper-divisor sum of 13,451,672, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^3 × 131 × 14431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,575,360

Proper Divisor Sum 13,451,672

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15123683 ← → #15123733

Radix Representation

Decimal	15123688
Binary	111001101100010011101000 (24 bits)
Octal	0o71542350
Hexadecimal	0xE6C4E8

Divisor Catalog (16)

1 2 4 8 131 262 524 1,048 14,431 28,862 57,724 115,448 1,890,461 3,780,922 7,561,844 15,123,688

Collatz Trajectory (205 steps to reach 1)

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

15,123,688 7,561,844 3,780,922 1,890,461 5,671,384 2,835,692 1,417,846 708,923 2,126,770 1,063,385 3,190,156 1,595,078 797,539 2,392,618 1,196,309 3,588,928 1,794,464 897,232 448,616 224,308 112,154 56,077 168,232 84,116 42,058 21,029 63,088 31,544 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728

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