4,132,664

2³ × 149 × 3467

4,132,664 factors as 2^3 × 149 × 3467. Its 16 positive divisors give a proper-divisor sum of 3,670,336, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 149 × 3467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,803,000

Proper Divisor Sum 3,670,336

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4132643 ← → #4132673

Radix Representation

Decimal	4132664
Binary	1111110000111100111000 (22 bits)
Octal	0o17607470
Hexadecimal	0x3F0F38

Divisor Catalog (16)

1 2 4 8 149 298 596 1,192 3,467 6,934 13,868 27,736 516,583 1,033,166 2,066,332 4,132,664

Collatz Trajectory (110 steps to reach 1)

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

4,132,664 2,066,332 1,033,166 516,583 1,549,750 774,875 2,324,626 1,162,313 3,486,940 1,743,470 871,735 2,615,206 1,307,603 3,922,810 1,961,405 5,884,216 2,942,108 1,471,054 735,527 2,206,582 1,103,291 3,309,874 1,654,937 4,964,812 2,482,406 1,241,203 3,723,610 1,861,805 5,585,416 2,792,708 1,396,354 698,177 2,094,532 1,047,266 523,633 1,570,900 785,450 392,725 1,178,176 589,088 294,544 147,272 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282

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