4,048,975

5² × 7 × 17 × 1361

4,048,975 factors as 5^2 × 7 × 17 × 1361. Its 24 positive divisors give a proper-divisor sum of 2,030,993, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 1361

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,079,968

Proper Divisor Sum 2,030,993

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4048973 ← → #4048991

Radix Representation

Decimal	4048975
Binary	1111011100100001001111 (22 bits)
Octal	0o17344117
Hexadecimal	0x3DC84F

Divisor Catalog (24)

Collatz Trajectory (84 steps to reach 1)

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

4,048,975 12,146,926 6,073,463 18,220,390 9,110,195 27,330,586 13,665,293 40,995,880 20,497,940 10,248,970 5,124,485 15,373,456 7,686,728 3,843,364 1,921,682 960,841 2,882,524 1,441,262 720,631 2,161,894 1,080,947 3,242,842 1,621,421 4,864,264 2,432,132 1,216,066 608,033 1,824,100 912,050 456,025 1,368,076 684,038 342,019 1,026,058 513,029 1,539,088 769,544 384,772 192,386 96,193 288,580 144,290 72,145 216,436 108,218 54,109 162,328 81,164 40,582 20,291 60,874 30,437 91,312 45,656 22,828 11,414 5,707 17,122 8,561 25,684

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