80,242,965

3² × 5 × 11² × 14737

80,242,965 factors as 3^2 × 5 × 11^2 × 14737. Its 36 positive divisors give a proper-divisor sum of 72,649,047, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11^2 × 14737

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 152,892,012

Proper Divisor Sum 72,649,047

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #80242949 ← → #80242979

Radix Representation

Decimal	80242965
Binary	100110010000110100100010101 (27 bits)
Octal	0o462064425
Hexadecimal	0x4C86915

Divisor Catalog (36)

Collatz Trajectory (192 steps to reach 1)

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

80,242,965 240,728,896 120,364,448 60,182,224 30,091,112 15,045,556 7,522,778 3,761,389 11,284,168 5,642,084 2,821,042 1,410,521 4,231,564 2,115,782 1,057,891 3,173,674 1,586,837 4,760,512 2,380,256 1,190,128 595,064 297,532 148,766 74,383 223,150 111,575 334,726 167,363 502,090 251,045 753,136 376,568 188,284 94,142 47,071 141,214 70,607 211,822 105,911 317,734 158,867 476,602 238,301 714,904 357,452 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827

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