3,727,125

3² × 5³ × 3313

3,727,125 is odd and not a perfect square. Its factorization is 3^2 × 5^3 × 3313 and its 24 divisors sum to 6,720,792.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 3313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,720,792

Proper Divisor Sum 2,993,667

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3727123 ← → #3727153

Radix Representation

Decimal	3727125
Binary	1110001101111100010101 (22 bits)
Octal	0o16157425
Hexadecimal	0x38DF15

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 3,313 9,939 16,565 29,817 49,695 82,825 149,085 248,475 414,125 745,425 1,242,375 3,727,125

Collatz Trajectory (185 steps to reach 1)

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

3,727,125 11,181,376 5,590,688 2,795,344 1,397,672 698,836 349,418 174,709 524,128 262,064 131,032 65,516 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138

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