3,727,468

2² × 757 × 1231

3,727,468 has the prime decomposition 2^2 × 757 × 1231. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 757 × 1231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,536,992

Proper Divisor Sum 2,809,524

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3727463 ← → #3727483

Radix Representation

Decimal	3727468
Binary	1110001110000001101100 (22 bits)
Octal	0o16160154
Hexadecimal	0x38E06C

Divisor Catalog (12)

1 2 4 757 1,231 1,514 2,462 3,028 4,924 931,867 1,863,734 3,727,468

Collatz Trajectory (185 steps to reach 1)

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

3,727,468 1,863,734 931,867 2,795,602 1,397,801 4,193,404 2,096,702 1,048,351 3,145,054 1,572,527 4,717,582 2,358,791 7,076,374 3,538,187 10,614,562 5,307,281 15,921,844 7,960,922 3,980,461 11,941,384 5,970,692 2,985,346 1,492,673 4,478,020 2,239,010 1,119,505 3,358,516 1,679,258 839,629 2,518,888 1,259,444 629,722 314,861 944,584 472,292 236,146 118,073 354,220 177,110 88,555 265,666 132,833 398,500 199,250 99,625 298,876 149,438 74,719 224,158 112,079 336,238 168,119 504,358 252,179 756,538 378,269 1,134,808 567,404 283,702 141,851

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