4,479,412

2² × 7 × 159979

4,479,412 factors as 2^2 × 7 × 159979. Its 12 positive divisors give a proper-divisor sum of 4,479,468, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 159979

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,958,880

Proper Divisor Sum 4,479,468

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4479389 ← → #4479443

Radix Representation

Decimal	4479412
Binary	10001000101100110110100 (23 bits)
Octal	0o21054664
Hexadecimal	0x4459B4

Divisor Catalog (12)

1 2 4 7 14 28 159,979 319,958 639,916 1,119,853 2,239,706 4,479,412

Collatz Trajectory (211 steps to reach 1)

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

4,479,412 2,239,706 1,119,853 3,359,560 1,679,780 839,890 419,945 1,259,836 629,918 314,959 944,878 472,439 1,417,318 708,659 2,125,978 1,062,989 3,188,968 1,594,484 797,242 398,621 1,195,864 597,932 298,966 149,483 448,450 224,225 672,676 336,338 168,169 504,508 252,254 126,127 378,382 189,191 567,574 283,787 851,362 425,681 1,277,044 638,522 319,261 957,784 478,892 239,446 119,723 359,170 179,585 538,756 269,378 134,689 404,068 202,034 101,017 303,052 151,526 75,763 227,290 113,645 340,936 170,468

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