37,213,616

2⁴ × 11 × 211441

37,213,616 factors as 2^4 × 11 × 211441. Its 20 positive divisors give a proper-divisor sum of 41,442,808, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 211441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 78,656,424

Proper Divisor Sum 41,442,808

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #37213607 ← → #37213621

Radix Representation

Decimal	37213616
Binary	10001101111101010110110000 (26 bits)
Octal	0o215752660
Hexadecimal	0x237D5B0

Divisor Catalog (20)

Collatz Trajectory (165 steps to reach 1)

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

37,213,616 18,606,808 9,303,404 4,651,702 2,325,851 6,977,554 3,488,777 10,466,332 5,233,166 2,616,583 7,849,750 3,924,875 11,774,626 5,887,313 17,661,940 8,830,970 4,415,485 13,246,456 6,623,228 3,311,614 1,655,807 4,967,422 2,483,711 7,451,134 3,725,567 11,176,702 5,588,351 16,765,054 8,382,527 25,147,582 12,573,791 37,721,374 18,860,687 56,582,062 28,291,031 84,873,094 42,436,547 127,309,642 63,654,821 190,964,464 95,482,232 47,741,116 23,870,558 11,935,279 35,805,838 17,902,919 53,708,758 26,854,379 80,563,138 40,281,569 120,844,708 60,422,354 30,211,177 90,633,532 45,316,766 22,658,383 67,975,150 33,987,575 101,962,726 50,981,363

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