4,175,025

3 × 5² × 55667

4,175,025 has the prime decomposition 3 × 5^2 × 55667. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 55667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,902,832

Proper Divisor Sum 2,727,807

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4174997 ← → #4175053

Radix Representation

Decimal	4175025
Binary	1111111011010010110001 (22 bits)
Octal	0o17732261
Hexadecimal	0x3FB4B1

Divisor Catalog (12)

1 3 5 15 25 75 55,667 167,001 278,335 835,005 1,391,675 4,175,025

Collatz Trajectory (198 steps to reach 1)

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

4,175,025 12,525,076 6,262,538 3,131,269 9,393,808 4,696,904 2,348,452 1,174,226 587,113 1,761,340 880,670 440,335 1,321,006 660,503 1,981,510 990,755 2,972,266 1,486,133 4,458,400 2,229,200 1,114,600 557,300 278,650 139,325 417,976 208,988 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737

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