λ
Ratio Atlas

65,327,671

65327671
Deficient Odd Prime

65,327,671 factors as 65327671. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 295 steps.

Prime Factor Structure

Factorization String 65327671
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 65,327,672
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #65327653 ← → #65327701

Radix Representation

Decimal 65327671
Binary 11111001001101001000110111 (26 bits)
Octal 0o371151067
Hexadecimal 0x3E4D237

Divisor Catalog (2)

Collatz Trajectory (295 steps to reach 1)

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

65,327,671 195,983,014 97,991,507 293,974,522 146,987,261 440,961,784 220,480,892 110,240,446 55,120,223 165,360,670 82,680,335 248,041,006 124,020,503 372,061,510 186,030,755 558,092,266 279,046,133 837,138,400 418,569,200 209,284,600 104,642,300 52,321,150 26,160,575 78,481,726 39,240,863 117,722,590 58,861,295 176,583,886 88,291,943 264,875,830 132,437,915 397,313,746 198,656,873 595,970,620 297,985,310 148,992,655 446,977,966 223,488,983 670,466,950 335,233,475 1,005,700,426 502,850,213 1,508,550,640 754,275,320 377,137,660 188,568,830 94,284,415 282,853,246 141,426,623 424,279,870 212,139,935 636,419,806 318,209,903 954,629,710 477,314,855 1,431,944,566 715,972,283 2,147,916,850 1,073,958,425 3,221,875,276

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