λ
Ratio Atlas

17,567,983

17567983
Deficient Odd Prime

17,567,983 factors as 17567983. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 17567983
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 17,567,984
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #17567981 ← → #17567993

Radix Representation

Decimal 17567983
Binary 1000011000001000011101111 (25 bits)
Octal 0o103010357
Hexadecimal 0x10C10EF

Divisor Catalog (2)

Collatz Trajectory (319 steps to reach 1)

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

17,567,983 52,703,950 26,351,975 79,055,926 39,527,963 118,583,890 59,291,945 177,875,836 88,937,918 44,468,959 133,406,878 66,703,439 200,110,318 100,055,159 300,165,478 150,082,739 450,248,218 225,124,109 675,372,328 337,686,164 168,843,082 84,421,541 253,264,624 126,632,312 63,316,156 31,658,078 15,829,039 47,487,118 23,743,559 71,230,678 35,615,339 106,846,018 53,423,009 160,269,028 80,134,514 40,067,257 120,201,772 60,100,886 30,050,443 90,151,330 45,075,665 135,226,996 67,613,498 33,806,749 101,420,248 50,710,124 25,355,062 12,677,531 38,032,594 19,016,297 57,048,892 28,524,446 14,262,223 42,786,670 21,393,335 64,180,006 32,090,003 96,270,010 48,135,005 144,405,016

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