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Atlas › Integer Profiles › Node 14,743,232

14,743,232

26 × 7 × 32909
Abundant Even Composite

14,743,232 factors as 2^6 × 7 × 32909. Its 28 positive divisors give a proper-divisor sum of 18,693,328, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 32909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 33,436,560
Proper Divisor Sum 18,693,328
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #14743229 ← → #14743237

Radix Representation

Decimal 14743232
Binary 111000001111011011000000 (24 bits)
Octal 0o70173300
Hexadecimal 0xE0F6C0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 32,909 65,818 131,636 230,363 263,272 460,726 526,544 921,452 1,053,088 1,842,904 2,106,176 3,685,808 7,371,616 14,743,232

Collatz Trajectory (81 steps to reach 1)

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

14,743,232 7,371,616 3,685,808 1,842,904 921,452 460,726 230,363 691,090 345,545 1,036,636 518,318 259,159 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74

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