37,453,053

3 × 11 × 31² × 1181

37,453,053 factors as 3 × 11 × 31^2 × 1181. Its 24 positive divisors give a proper-divisor sum of 18,885,795, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 11 × 31^2 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 56,338,848

Proper Divisor Sum 18,885,795

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #37453037 ← → #37453081

Radix Representation

Decimal	37453053
Binary	10001110110111110011111101 (26 bits)
Octal	0o216676375
Hexadecimal	0x23B7CFD

Divisor Catalog (24)

Collatz Trajectory (134 steps to reach 1)

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

37,453,053 112,359,160 56,179,580 28,089,790 14,044,895 42,134,686 21,067,343 63,202,030 31,601,015 94,803,046 47,401,523 142,204,570 71,102,285 213,306,856 106,653,428 53,326,714 26,663,357 79,990,072 39,995,036 19,997,518 9,998,759 29,996,278 14,998,139 44,994,418 22,497,209 67,491,628 33,745,814 16,872,907 50,618,722 25,309,361 75,928,084 37,964,042 18,982,021 56,946,064 28,473,032 14,236,516 7,118,258 3,559,129 10,677,388 5,338,694 2,669,347 8,008,042 4,004,021 12,012,064 6,006,032 3,003,016 1,501,508 750,754 375,377 1,126,132 563,066 281,533 844,600 422,300 211,150 105,575 316,726 158,363 475,090 237,545

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