67,200,072

2³ × 3 × 2800003

67,200,072 factors as 2^3 × 3 × 2800003. Its 16 positive divisors give a proper-divisor sum of 100,800,168, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 2800003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 168,000,240

Proper Divisor Sum 100,800,168

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #67200071 ← → #67200079

Radix Representation

Decimal	67200072
Binary	100000000010110010001001000 (27 bits)
Octal	0o400262110
Hexadecimal	0x4016448

Divisor Catalog (16)

1 2 3 4 6 8 12 24 2,800,003 5,600,006 8,400,009 11,200,012 16,800,018 22,400,024 33,600,036 67,200,072

Collatz Trajectory (233 steps to reach 1)

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

67,200,072 33,600,036 16,800,018 8,400,009 25,200,028 12,600,014 6,300,007 18,900,022 9,450,011 28,350,034 14,175,017 42,525,052 21,262,526 10,631,263 31,893,790 15,946,895 47,840,686 23,920,343 71,761,030 35,880,515 107,641,546 53,820,773 161,462,320 80,731,160 40,365,580 20,182,790 10,091,395 30,274,186 15,137,093 45,411,280 22,705,640 11,352,820 5,676,410 2,838,205 8,514,616 4,257,308 2,128,654 1,064,327 3,192,982 1,596,491 4,789,474 2,394,737 7,184,212 3,592,106 1,796,053 5,388,160 2,694,080 1,347,040 673,520 336,760 168,380 84,190 42,095 126,286 63,143 189,430 94,715 284,146 142,073 426,220

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