15,723,880

2³ × 5 × 393097

15,723,880 factors as 2^3 × 5 × 393097. Its 16 positive divisors give a proper-divisor sum of 19,654,940, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 393097

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 35,378,820

Proper Divisor Sum 19,654,940

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15723871 ← → #15723893

Radix Representation

Decimal	15723880
Binary	111011111110110101101000 (24 bits)
Octal	0o73766550
Hexadecimal	0xEFED68

Divisor Catalog (16)

1 2 4 5 8 10 20 40 393,097 786,194 1,572,388 1,965,485 3,144,776 3,930,970 7,861,940 15,723,880

Collatz Trajectory (125 steps to reach 1)

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

15,723,880 7,861,940 3,930,970 1,965,485 5,896,456 2,948,228 1,474,114 737,057 2,211,172 1,105,586 552,793 1,658,380 829,190 414,595 1,243,786 621,893 1,865,680 932,840 466,420 233,210 116,605 349,816 174,908 87,454 43,727 131,182 65,591 196,774 98,387 295,162 147,581 442,744 221,372 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402 118,201 354,604 177,302 88,651 265,954 132,977 398,932 199,466 99,733

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