3,503,948

2² × 7 × 125141

3,503,948 factors as 2^2 × 7 × 125141. Its 12 positive divisors give a proper-divisor sum of 3,504,004, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 125141

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,007,952

Proper Divisor Sum 3,504,004

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3503947 ← → #3503953

Radix Representation

Decimal	3503948
Binary	1101010111011101001100 (22 bits)
Octal	0o15273514
Hexadecimal	0x35774C

Divisor Catalog (12)

1 2 4 7 14 28 125,141 250,282 500,564 875,987 1,751,974 3,503,948

Collatz Trajectory (221 steps to reach 1)

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

3,503,948 1,751,974 875,987 2,627,962 1,313,981 3,941,944 1,970,972 985,486 492,743 1,478,230 739,115 2,217,346 1,108,673 3,326,020 1,663,010 831,505 2,494,516 1,247,258 623,629 1,870,888 935,444 467,722 233,861 701,584 350,792 175,396 87,698 43,849 131,548 65,774 32,887 98,662 49,331 147,994 73,997 221,992 110,996 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234

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