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Atlas › Integer Profiles › Node 14,766,232

14,766,232

23 × 13 × 41 × 3463
Abundant Even Composite

14,766,232 factors as 2^3 × 13 × 41 × 3463. Its 32 positive divisors give a proper-divisor sum of 15,786,248, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 3463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,552,480
Proper Divisor Sum 15,786,248
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #14766223 ← → #14766233

Radix Representation

Decimal 14766232
Binary 111000010101000010011000 (24 bits)
Octal 0o70250230
Hexadecimal 0xE15098

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 2,132 3,463 4,264 6,926 13,852 27,704 45,019 90,038 141,983 180,076 283,966 360,152 567,932 1,135,864 1,845,779 3,691,558 7,383,116 14,766,232

Collatz Trajectory (86 steps to reach 1)

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

14,766,232 7,383,116 3,691,558 1,845,779 5,537,338 2,768,669 8,306,008 4,153,004 2,076,502 1,038,251 3,114,754 1,557,377 4,672,132 2,336,066 1,168,033 3,504,100 1,752,050 876,025 2,628,076 1,314,038 657,019 1,971,058 985,529 2,956,588 1,478,294 739,147 2,217,442 1,108,721 3,326,164 1,663,082 831,541 2,494,624 1,247,312 623,656 311,828 155,914 77,957 233,872 116,936 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602

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