82,432,132

2² × 1297 × 15889

82,432,132 factors as 2^2 × 1297 × 15889. Its 12 positive divisors give a proper-divisor sum of 61,944,408, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 1297 × 15889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 144,376,540

Proper Divisor Sum 61,944,408

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #82432117 ← → #82432151

Radix Representation

Decimal	82432132
Binary	100111010011101000010000100 (27 bits)
Octal	0o472350204
Hexadecimal	0x4E9D084

Divisor Catalog (12)

1 2 4 1,297 2,594 5,188 15,889 31,778 63,556 20,608,033 41,216,066 82,432,132

Collatz Trajectory (210 steps to reach 1)

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

82,432,132 41,216,066 20,608,033 61,824,100 30,912,050 15,456,025 46,368,076 23,184,038 11,592,019 34,776,058 17,388,029 52,164,088 26,082,044 13,041,022 6,520,511 19,561,534 9,780,767 29,342,302 14,671,151 44,013,454 22,006,727 66,020,182 33,010,091 99,030,274 49,515,137 148,545,412 74,272,706 37,136,353 111,409,060 55,704,530 27,852,265 83,556,796 41,778,398 20,889,199 62,667,598 31,333,799 94,001,398 47,000,699 141,002,098 70,501,049 211,503,148 105,751,574 52,875,787 158,627,362 79,313,681 237,941,044 118,970,522 59,485,261 178,455,784 89,227,892 44,613,946 22,306,973 66,920,920 33,460,460 16,730,230 8,365,115 25,095,346 12,547,673 37,643,020 18,821,510

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