λ
Ratio Atlas

67,116,598

2 × 2203 × 15233
Deficient Even Composite

67,116,598 factors as 2 × 2203 × 15233. Its 8 positive divisors give a proper-divisor sum of 33,610,610, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 2203 × 15233
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 100,727,208
Proper Divisor Sum 33,610,610
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #67116547 ← → #67116601

Radix Representation

Decimal 67116598
Binary 100000000000001111000110110 (27 bits)
Octal 0o400017066
Hexadecimal 0x4001E36

Divisor Catalog (8)

Collatz Trajectory (140 steps to reach 1)

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

67,116,598 33,558,299 100,674,898 50,337,449 151,012,348 75,506,174 37,753,087 113,259,262 56,629,631 169,888,894 84,944,447 254,833,342 127,416,671 382,250,014 191,125,007 573,375,022 286,687,511 860,062,534 430,031,267 1,290,093,802 645,046,901 1,935,140,704 967,570,352 483,785,176 241,892,588 120,946,294 60,473,147 181,419,442 90,709,721 272,129,164 136,064,582 68,032,291 204,096,874 102,048,437 306,145,312 153,072,656 76,536,328 38,268,164 19,134,082 9,567,041 28,701,124 14,350,562 7,175,281 21,525,844 10,762,922 5,381,461 16,144,384 8,072,192 4,036,096 2,018,048 1,009,024 504,512 252,256 126,128 63,064 31,532 15,766 7,883 23,650 11,825

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