λ
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Atlas › Integer Profiles › Node 27,809,692

27,809,692

22 × 19 × 277 × 1321
Deficient Even Composite

27,809,692 factors as 2^2 × 19 × 277 × 1321. Its 24 positive divisors give a proper-divisor sum of 23,642,548, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 277 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 51,452,240
Proper Divisor Sum 23,642,548
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #27809687 ← → #27809699

Radix Representation

Decimal 27809692
Binary 1101010000101011110011100 (25 bits)
Octal 0o152053634
Hexadecimal 0x1A8579C

Divisor Catalog (24)

1 2 4 19 38 76 277 554 1,108 1,321 2,642 5,263 5,284 10,526 21,052 25,099 50,198 100,396 365,917 731,834 1,463,668 6,952,423 13,904,846 27,809,692

Collatz Trajectory (105 steps to reach 1)

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

27,809,692 13,904,846 6,952,423 20,857,270 10,428,635 31,285,906 15,642,953 46,928,860 23,464,430 11,732,215 35,196,646 17,598,323 52,794,970 26,397,485 79,192,456 39,596,228 19,798,114 9,899,057 29,697,172 14,848,586 7,424,293 22,272,880 11,136,440 5,568,220 2,784,110 1,392,055 4,176,166 2,088,083 6,264,250 3,132,125 9,396,376 4,698,188 2,349,094 1,174,547 3,523,642 1,761,821 5,285,464 2,642,732 1,321,366 660,683 1,982,050 991,025 2,973,076 1,486,538 743,269 2,229,808 1,114,904 557,452 278,726 139,363 418,090 209,045 627,136 313,568 156,784 78,392 39,196 19,598 9,799 29,398

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