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37,202,816

27 × 7 × 41521
Abundant Even Composite

37,202,816 factors as 2^7 × 7 × 41521. Its 32 positive divisors give a proper-divisor sum of 47,502,064, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 41521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,704,880
Proper Divisor Sum 47,502,064
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #37202813 ← → #37202827

Radix Representation

Decimal 37202816
Binary 10001101111010101110000000 (26 bits)
Octal 0o215725600
Hexadecimal 0x237AB80

Divisor Catalog (32)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 41,521 83,042 166,084 290,647 332,168 581,294 664,336 1,162,588 1,328,672 2,325,176 2,657,344 4,650,352 5,314,688 9,300,704 18,601,408 37,202,816

Collatz Trajectory (51 steps to reach 1)

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

37,202,816 18,601,408 9,300,704 4,650,352 2,325,176 1,162,588 581,294 290,647 871,942 435,971 1,307,914 653,957 1,961,872 980,936 490,468 245,234 122,617 367,852 183,926 91,963 275,890 137,945 413,836 206,918 103,459 310,378 155,189 465,568 232,784 116,392 58,196 29,098 14,549 43,648 21,824 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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