82,069,725

3 × 5² × 1094263

82,069,725 factors as 3 × 5^2 × 1094263. Its 12 positive divisors give a proper-divisor sum of 53,619,011, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 1094263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 135,688,736

Proper Divisor Sum 53,619,011

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #82069723 ← → #82069751

Radix Representation

Decimal	82069725
Binary	100111001000100100011011101 (27 bits)
Octal	0o471044335
Hexadecimal	0x4E448DD

Divisor Catalog (12)

1 3 5 15 25 75 1,094,263 3,282,789 5,471,315 16,413,945 27,356,575 82,069,725

Collatz Trajectory (192 steps to reach 1)

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

82,069,725 246,209,176 123,104,588 61,552,294 30,776,147 92,328,442 46,164,221 138,492,664 69,246,332 34,623,166 17,311,583 51,934,750 25,967,375 77,902,126 38,951,063 116,853,190 58,426,595 175,279,786 87,639,893 262,919,680 131,459,840 65,729,920 32,864,960 16,432,480 8,216,240 4,108,120 2,054,060 1,027,030 513,515 1,540,546 770,273 2,310,820 1,155,410 577,705 1,733,116 866,558 433,279 1,299,838 649,919 1,949,758 974,879 2,924,638 1,462,319 4,386,958 2,193,479 6,580,438 3,290,219 9,870,658 4,935,329 14,805,988 7,402,994 3,701,497 11,104,492 5,552,246 2,776,123 8,328,370 4,164,185 12,492,556 6,246,278 3,123,139

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