37,612,208

2⁴ × 2350763

37,612,208 factors as 2^4 × 2350763. Its 10 positive divisors give a proper-divisor sum of 35,261,476, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 2^4 × 2350763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 72,873,684

Proper Divisor Sum 35,261,476

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #37612189 ← → #37612213

Radix Representation

Decimal	37612208
Binary	10001111011110101010110000 (26 bits)
Octal	0o217365260
Hexadecimal	0x23DEAB0

Divisor Catalog (10)

1 2 4 8 16 2,350,763 4,701,526 9,403,052 18,806,104 37,612,208

Collatz Trajectory (302 steps to reach 1)

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

37,612,208 18,806,104 9,403,052 4,701,526 2,350,763 7,052,290 3,526,145 10,578,436 5,289,218 2,644,609 7,933,828 3,966,914 1,983,457 5,950,372 2,975,186 1,487,593 4,462,780 2,231,390 1,115,695 3,347,086 1,673,543 5,020,630 2,510,315 7,530,946 3,765,473 11,296,420 5,648,210 2,824,105 8,472,316 4,236,158 2,118,079 6,354,238 3,177,119 9,531,358 4,765,679 14,297,038 7,148,519 21,445,558 10,722,779 32,168,338 16,084,169 48,252,508 24,126,254 12,063,127 36,189,382 18,094,691 54,284,074 27,142,037 81,426,112 40,713,056 20,356,528 10,178,264 5,089,132 2,544,566 1,272,283 3,816,850 1,908,425 5,725,276 2,862,638 1,431,319

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