5,457,525

3 × 5² × 72767

5,457,525 factors as 3 × 5^2 × 72767. Its 12 positive divisors give a proper-divisor sum of 3,565,707, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 72767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,023,232

Proper Divisor Sum 3,565,707

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5457523 ← → #5457533

Radix Representation

Decimal	5457525
Binary	10100110100011001110101 (23 bits)
Octal	0o24643165
Hexadecimal	0x534675

Divisor Catalog (12)

1 3 5 15 25 75 72,767 218,301 363,835 1,091,505 1,819,175 5,457,525

Collatz Trajectory (113 steps to reach 1)

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

5,457,525 16,372,576 8,186,288 4,093,144 2,046,572 1,023,286 511,643 1,534,930 767,465 2,302,396 1,151,198 575,599 1,726,798 863,399 2,590,198 1,295,099 3,885,298 1,942,649 5,827,948 2,913,974 1,456,987 4,370,962 2,185,481 6,556,444 3,278,222 1,639,111 4,917,334 2,458,667 7,376,002 3,688,001 11,064,004 5,532,002 2,766,001 8,298,004 4,149,002 2,074,501 6,223,504 3,111,752 1,555,876 777,938 388,969 1,166,908 583,454 291,727 875,182 437,591 1,312,774 656,387 1,969,162 984,581 2,953,744 1,476,872 738,436 369,218 184,609 553,828 276,914 138,457 415,372 207,686

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