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Atlas › Integer Profiles › Node 5,261,908

5,261,908

22 × 17 × 223 × 347
Deficient Even Composite

5,261,908 factors as 2^2 × 17 × 223 × 347. Its 24 positive divisors give a proper-divisor sum of 4,560,044, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 223 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,821,952
Proper Divisor Sum 4,560,044
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5261887 ← → #5261923

Radix Representation

Decimal 5261908
Binary 10100000100101001010100 (23 bits)
Octal 0o24045124
Hexadecimal 0x504A54

Divisor Catalog (24)

1 2 4 17 34 68 223 347 446 694 892 1,388 3,791 5,899 7,582 11,798 15,164 23,596 77,381 154,762 309,524 1,315,477 2,630,954 5,261,908

Collatz Trajectory (175 steps to reach 1)

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

5,261,908 2,630,954 1,315,477 3,946,432 1,973,216 986,608 493,304 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321 210,964 105,482 52,741 158,224 79,112 39,556 19,778 9,889 29,668 14,834 7,417 22,252 11,126 5,563

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