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Atlas › Integer Profiles › Node 23,935,552

23,935,552

26 × 103 × 3631
Abundant Even Composite

23,935,552 factors as 2^6 × 103 × 3631. Its 28 positive divisors give a proper-divisor sum of 24,035,904, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^6 × 103 × 3631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 47,971,456
Proper Divisor Sum 24,035,904
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23935537 ← → #23935553

Radix Representation

Decimal 23935552
Binary 1011011010011101001000000 (25 bits)
Octal 0o133235100
Hexadecimal 0x16D3A40

Divisor Catalog (28)

1 2 4 8 16 32 64 103 206 412 824 1,648 3,296 3,631 6,592 7,262 14,524 29,048 58,096 116,192 232,384 373,993 747,986 1,495,972 2,991,944 5,983,888 11,967,776 23,935,552

Collatz Trajectory (79 steps to reach 1)

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

23,935,552 11,967,776 5,983,888 2,991,944 1,495,972 747,986 373,993 1,121,980 560,990 280,495 841,486 420,743 1,262,230 631,115 1,893,346 946,673 2,840,020 1,420,010 710,005 2,130,016 1,065,008 532,504 266,252 133,126 66,563 199,690 99,845 299,536 149,768 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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