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Atlas › Integer Profiles › Node 11,645,667

11,645,667

33 × 11 × 113 × 347
Deficient Odd Composite

11,645,667 factors as 3^3 × 11 × 113 × 347. Its 32 positive divisors give a proper-divisor sum of 7,396,893, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 113 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,042,560
Proper Divisor Sum 7,396,893
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11645611 ← → #11645671

Radix Representation

Decimal 11645667
Binary 101100011011001011100011 (24 bits)
Octal 0o54331343
Hexadecimal 0xB1B2E3

Divisor Catalog (32)

1 3 9 11 27 33 99 113 297 339 347 1,017 1,041 1,243 3,051 3,123 3,729 3,817 9,369 11,187 11,451 33,561 34,353 39,211 103,059 117,633 352,899 431,321 1,058,697 1,293,963 3,881,889 11,645,667

Collatz Trajectory (78 steps to reach 1)

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

11,645,667 34,937,002 17,468,501 52,405,504 26,202,752 13,101,376 6,550,688 3,275,344 1,637,672 818,836 409,418 204,709 614,128 307,064 153,532 76,766 38,383 115,150 57,575 172,726 86,363 259,090 129,545 388,636 194,318 97,159 291,478 145,739 437,218 218,609 655,828 327,914 163,957 491,872 245,936 122,968 61,484 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58

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