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Atlas › Integer Profiles › Node 37,152,290

37,152,290

2 × 5 × 72 × 75821
Abundant Even Composite

37,152,290 factors as 2 × 5 × 7^2 × 75821. Its 24 positive divisors give a proper-divisor sum of 40,641,082, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 75821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,793,372
Proper Divisor Sum 40,641,082
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #37152289 ← → #37152331

Radix Representation

Decimal 37152290
Binary 10001101101110011000100010 (26 bits)
Octal 0o215563042
Hexadecimal 0x236E622

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 75,821 151,642 379,105 530,747 758,210 1,061,494 2,653,735 3,715,229 5,307,470 7,430,458 18,576,145 37,152,290

Collatz Trajectory (90 steps to reach 1)

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

37,152,290 18,576,145 55,728,436 27,864,218 13,932,109 41,796,328 20,898,164 10,449,082 5,224,541 15,673,624 7,836,812 3,918,406 1,959,203 5,877,610 2,938,805 8,816,416 4,408,208 2,204,104 1,102,052 551,026 275,513 826,540 413,270 206,635 619,906 309,953 929,860 464,930 232,465 697,396 348,698 174,349 523,048 261,524 130,762 65,381 196,144 98,072 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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