4,645,688

2³ × 580711

4,645,688 factors as 2^3 × 580711. Its 8 positive divisors give a proper-divisor sum of 4,064,992, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 580711

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,710,680

Proper Divisor Sum 4,064,992

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4645687 ← → #4645721

Radix Representation

Decimal	4645688
Binary	10001101110001100111000 (23 bits)
Octal	0o21561470
Hexadecimal	0x46E338

Divisor Catalog (8)

1 2 4 8 580,711 1,161,422 2,322,844 4,645,688

Collatz Trajectory (131 steps to reach 1)

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

4,645,688 2,322,844 1,161,422 580,711 1,742,134 871,067 2,613,202 1,306,601 3,919,804 1,959,902 979,951 2,939,854 1,469,927 4,409,782 2,204,891 6,614,674 3,307,337 9,922,012 4,961,006 2,480,503 7,441,510 3,720,755 11,162,266 5,581,133 16,743,400 8,371,700 4,185,850 2,092,925 6,278,776 3,139,388 1,569,694 784,847 2,354,542 1,177,271 3,531,814 1,765,907 5,297,722 2,648,861 7,946,584 3,973,292 1,986,646 993,323 2,979,970 1,489,985 4,469,956 2,234,978 1,117,489 3,352,468 1,676,234 838,117 2,514,352 1,257,176 628,588 314,294 157,147 471,442 235,721 707,164 353,582 176,791

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