67,241,066

2 × 41 × 67 × 12239

67,241,066 factors as 2 × 41 × 67 × 12239. Its 16 positive divisors give a proper-divisor sum of 37,631,254, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 41 × 67 × 12239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 104,872,320

Proper Divisor Sum 37,631,254

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #67241051 ← → #67241101

Radix Representation

Decimal	67241066
Binary	100000000100000010001101010 (27 bits)
Octal	0o400402152
Hexadecimal	0x402046A

Divisor Catalog (16)

1 2 41 67 82 134 2,747 5,494 12,239 24,478 501,799 820,013 1,003,598 1,640,026 33,620,533 67,241,066

Collatz Trajectory (96 steps to reach 1)

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

67,241,066 33,620,533 100,861,600 50,430,800 25,215,400 12,607,700 6,303,850 3,151,925 9,455,776 4,727,888 2,363,944 1,181,972 590,986 295,493 886,480 443,240 221,620 110,810 55,405 166,216 83,108 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852

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