4,002,964

2² × 7 × 142963

For 4,002,964, the 12 positive divisors have a total of 8,005,984. Removing 4,002,964 leaves 4,003,020, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 142963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,005,984

Proper Divisor Sum 4,003,020

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4002961 ← → #4002979

Radix Representation

Decimal	4002964
Binary	1111010001010010010100 (22 bits)
Octal	0o17212224
Hexadecimal	0x3D1494

Divisor Catalog (12)

1 2 4 7 14 28 142,963 285,926 571,852 1,000,741 2,001,482 4,002,964

Collatz Trajectory (141 steps to reach 1)

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

4,002,964 2,001,482 1,000,741 3,002,224 1,501,112 750,556 375,278 187,639 562,918 281,459 844,378 422,189 1,266,568 633,284 316,642 158,321 474,964 237,482 118,741 356,224 178,112 89,056 44,528 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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