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Atlas › Integer Profiles › Node 43,572,048

43,572,048

24 × 3 × 13 × 69827
Abundant Even Composite

43,572,048 factors as 2^4 × 3 × 13 × 69827. Its 40 positive divisors give a proper-divisor sum of 77,649,360, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 69827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 121,221,408
Proper Divisor Sum 77,649,360
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #43572047 ← → #43572083

Radix Representation

Decimal 43572048
Binary 10100110001101101101010000 (26 bits)
Octal 0o246155520
Hexadecimal 0x298DB50

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 69,827 139,654 209,481 279,308 418,962 558,616 837,924 907,751 1,117,232 1,675,848 1,815,502 2,723,253 3,351,696 3,631,004 5,446,506 7,262,008 10,893,012 14,524,016 21,786,024 43,572,048

Collatz Trajectory (72 steps to reach 1)

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

43,572,048 21,786,024 10,893,012 5,446,506 2,723,253 8,169,760 4,084,880 2,042,440 1,021,220 510,610 255,305 765,916 382,958 191,479 574,438 287,219 861,658 430,829 1,292,488 646,244 323,122 161,561 484,684 242,342 121,171 363,514 181,757 545,272 272,636 136,318 68,159 204,478 102,239 306,718 153,359 460,078 230,039 690,118 345,059 1,035,178 517,589 1,552,768 776,384 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280

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