3,727,070

2 × 5 × 372707

3,727,070 factors as 2 × 5 × 372707. Its 8 positive divisors give a proper-divisor sum of 2,981,674, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 5 × 372707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,708,744

Proper Divisor Sum 2,981,674

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3727067 ← → #3727091

Radix Representation

Decimal	3727070
Binary	1110001101111011011110 (22 bits)
Octal	0o16157336
Hexadecimal	0x38DEDE

Divisor Catalog (8)

1 2 5 10 372,707 745,414 1,863,535 3,727,070

Collatz Trajectory (185 steps to reach 1)

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

3,727,070 1,863,535 5,590,606 2,795,303 8,385,910 4,192,955 12,578,866 6,289,433 18,868,300 9,434,150 4,717,075 14,151,226 7,075,613 21,226,840 10,613,420 5,306,710 2,653,355 7,960,066 3,980,033 11,940,100 5,970,050 2,985,025 8,955,076 4,477,538 2,238,769 6,716,308 3,358,154 1,679,077 5,037,232 2,518,616 1,259,308 629,654 314,827 944,482 472,241 1,416,724 708,362 354,181 1,062,544 531,272 265,636 132,818 66,409 199,228 99,614 49,807 149,422 74,711 224,134 112,067 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838

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