37,720,132

2² × 47 × 200639

37,720,132 factors as 2^2 × 47 × 200639. Its 12 positive divisors give a proper-divisor sum of 29,694,908, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 200639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 67,415,040

Proper Divisor Sum 29,694,908

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #37720117 ← → #37720139

Radix Representation

Decimal	37720132
Binary	10001111111001000001000100 (26 bits)
Octal	0o217710104
Hexadecimal	0x23F9044

Divisor Catalog (12)

1 2 4 47 94 188 200,639 401,278 802,556 9,430,033 18,860,066 37,720,132

Collatz Trajectory (178 steps to reach 1)

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

37,720,132 18,860,066 9,430,033 28,290,100 14,145,050 7,072,525 21,217,576 10,608,788 5,304,394 2,652,197 7,956,592 3,978,296 1,989,148 994,574 497,287 1,491,862 745,931 2,237,794 1,118,897 3,356,692 1,678,346 839,173 2,517,520 1,258,760 629,380 314,690 157,345 472,036 236,018 118,009 354,028 177,014 88,507 265,522 132,761 398,284 199,142 99,571 298,714 149,357 448,072 224,036 112,018 56,009 168,028 84,014 42,007 126,022 63,011 189,034 94,517 283,552 141,776 70,888 35,444 17,722 8,861 26,584 13,292 6,646

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