5,209,375

5⁵ × 1667

5,209,375 factors as 5^5 × 1667. Its 12 positive divisors give a proper-divisor sum of 1,305,833, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 5^5 × 1667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,515,208

Proper Divisor Sum 1,305,833

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5209319 ← → #5209381

Radix Representation

Decimal	5209375
Binary	10011110111110100011111 (23 bits)
Octal	0o23676437
Hexadecimal	0x4F7D1F

Divisor Catalog (12)

1 5 25 125 625 1,667 3,125 8,335 41,675 208,375 1,041,875 5,209,375

Collatz Trajectory (126 steps to reach 1)

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

5,209,375 15,628,126 7,814,063 23,442,190 11,721,095 35,163,286 17,581,643 52,744,930 26,372,465 79,117,396 39,558,698 19,779,349 59,338,048 29,669,024 14,834,512 7,417,256 3,708,628 1,854,314 927,157 2,781,472 1,390,736 695,368 347,684 173,842 86,921 260,764 130,382 65,191 195,574 97,787 293,362 146,681 440,044 220,022 110,011 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895 14,686 7,343 22,030 11,015 33,046

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