916,728

2³ × 3 × 38197

916,728 factors as 2^3 × 3 × 38197. Its 16 positive divisors give a proper-divisor sum of 1,375,152, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 38197

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,291,880

Proper Divisor Sum 1,375,152

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #916703 ← → #916733

Radix Representation

Decimal	916728
Binary	11011111110011111000 (20 bits)
Octal	0o3376370
Hexadecimal	0xDFCF8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 38,197 76,394 114,591 152,788 229,182 305,576 458,364 916,728

Collatz Trajectory (201 steps to reach 1)

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

916,728 458,364 229,182 114,591 343,774 171,887 515,662 257,831 773,494 386,747 1,160,242 580,121 1,740,364 870,182 435,091 1,305,274 652,637 1,957,912 978,956 489,478 244,739 734,218 367,109 1,101,328 550,664 275,332 137,666 68,833 206,500 103,250 51,625 154,876 77,438 38,719 116,158 58,079 174,238 87,119 261,358 130,679 392,038 196,019 588,058 294,029 882,088 441,044 220,522 110,261 330,784 165,392 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815

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