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Atlas › Integer Profiles › Node 36,975,438

36,975,438

2 × 32 × 443 × 4637
Abundant Even Composite

36,975,438 factors as 2 × 3^2 × 443 × 4637. Its 24 positive divisors give a proper-divisor sum of 43,336,170, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 443 × 4637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 80,311,608
Proper Divisor Sum 43,336,170
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36975431 ← → #36975439

Radix Representation

Decimal 36975438
Binary 10001101000011001101001110 (26 bits)
Octal 0o215031516
Hexadecimal 0x234334E

Divisor Catalog (24)

1 2 3 6 9 18 443 886 1,329 2,658 3,987 4,637 7,974 9,274 13,911 27,822 41,733 83,466 2,054,191 4,108,382 6,162,573 12,325,146 18,487,719 36,975,438

Collatz Trajectory (108 steps to reach 1)

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

36,975,438 18,487,719 55,463,158 27,731,579 83,194,738 41,597,369 124,792,108 62,396,054 31,198,027 93,594,082 46,797,041 140,391,124 70,195,562 35,097,781 105,293,344 52,646,672 26,323,336 13,161,668 6,580,834 3,290,417 9,871,252 4,935,626 2,467,813 7,403,440 3,701,720 1,850,860 925,430 462,715 1,388,146 694,073 2,082,220 1,041,110 520,555 1,561,666 780,833 2,342,500 1,171,250 585,625 1,756,876 878,438 439,219 1,317,658 658,829 1,976,488 988,244 494,122 247,061 741,184 370,592 185,296 92,648 46,324 23,162 11,581 34,744 17,372 8,686 4,343 13,030 6,515

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