82,206,004

2² × 307 × 66943

82,206,004 factors as 2^2 × 307 × 66943. Its 12 positive divisors give a proper-divisor sum of 62,125,260, so this integer is deficient. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 2^2 × 307 × 66943

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 144,331,264

Proper Divisor Sum 62,125,260

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #82205993 ← → #82206013

Radix Representation

Decimal	82206004
Binary	100111001100101110100110100 (27 bits)
Octal	0o471456464
Hexadecimal	0x4E65D34

Divisor Catalog (12)

1 2 4 307 614 1,228 66,943 133,886 267,772 20,551,501 41,103,002 82,206,004

Collatz Trajectory (267 steps to reach 1)

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

82,206,004 41,103,002 20,551,501 61,654,504 30,827,252 15,413,626 7,706,813 23,120,440 11,560,220 5,780,110 2,890,055 8,670,166 4,335,083 13,005,250 6,502,625 19,507,876 9,753,938 4,876,969 14,630,908 7,315,454 3,657,727 10,973,182 5,486,591 16,459,774 8,229,887 24,689,662 12,344,831 37,034,494 18,517,247 55,551,742 27,775,871 83,327,614 41,663,807 124,991,422 62,495,711 187,487,134 93,743,567 281,230,702 140,615,351 421,846,054 210,923,027 632,769,082 316,384,541 949,153,624 474,576,812 237,288,406 118,644,203 355,932,610 177,966,305 533,898,916 266,949,458 133,474,729 400,424,188 200,212,094 100,106,047 300,318,142 150,159,071 450,477,214 225,238,607 675,715,822

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