λ
Ratio Atlas

67,387,829

67387829
Deficient Odd Prime

67,387,829 factors as 67387829. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 67387829
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 67,387,830
Proper Divisor Sum 1
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #67387823 ← → #67387843

Radix Representation

Decimal 67387829
Binary 100000001000100000110110101 (27 bits)
Octal 0o401040665
Hexadecimal 0x40441B5

Divisor Catalog (2)

Collatz Trajectory (246 steps to reach 1)

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

67,387,829 202,163,488 101,081,744 50,540,872 25,270,436 12,635,218 6,317,609 18,952,828 9,476,414 4,738,207 14,214,622 7,107,311 21,321,934 10,660,967 31,982,902 15,991,451 47,974,354 23,987,177 71,961,532 35,980,766 17,990,383 53,971,150 26,985,575 80,956,726 40,478,363 121,435,090 60,717,545 182,152,636 91,076,318 45,538,159 136,614,478 68,307,239 204,921,718 102,460,859 307,382,578 153,691,289 461,073,868 230,536,934 115,268,467 345,805,402 172,902,701 518,708,104 259,354,052 129,677,026 64,838,513 194,515,540 97,257,770 48,628,885 145,886,656 72,943,328 36,471,664 18,235,832 9,117,916 4,558,958 2,279,479 6,838,438 3,419,219 10,257,658 5,128,829 15,386,488

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