67,136,174

2 × 7² × 685063

67,136,174 factors as 2 × 7^2 × 685063. Its 12 positive divisors give a proper-divisor sum of 50,009,770, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 685063

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 117,145,944

Proper Divisor Sum 50,009,770

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #67136141 ← → #67136197

Radix Representation

Decimal	67136174
Binary	100000000000110101010101110 (27 bits)
Octal	0o400065256
Hexadecimal	0x4006AAE

Divisor Catalog (12)

1 2 7 14 49 98 685,063 1,370,126 4,795,441 9,590,882 33,568,087 67,136,174

Collatz Trajectory (171 steps to reach 1)

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

67,136,174 33,568,087 100,704,262 50,352,131 151,056,394 75,528,197 226,584,592 113,292,296 56,646,148 28,323,074 14,161,537 42,484,612 21,242,306 10,621,153 31,863,460 15,931,730 7,965,865 23,897,596 11,948,798 5,974,399 17,923,198 8,961,599 26,884,798 13,442,399 40,327,198 20,163,599 60,490,798 30,245,399 90,736,198 45,368,099 136,104,298 68,052,149 204,156,448 102,078,224 51,039,112 25,519,556 12,759,778 6,379,889 19,139,668 9,569,834 4,784,917 14,354,752 7,177,376 3,588,688 1,794,344 897,172 448,586 224,293 672,880 336,440 168,220 84,110 42,055 126,166 63,083 189,250 94,625 283,876 141,938 70,969

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