λ
Integer Codex

4,047,596

22 × 72 × 107 × 193
Abundant Even Composite

For 4,047,596, the 36 positive divisors have a total of 8,359,848. Removing 4,047,596 leaves 4,312,252, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 107 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,359,848
Proper Divisor Sum 4,312,252
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4047587 ← → #4047599

Radix Representation

Decimal 4047596
Binary 1111011100001011101100 (22 bits)
Octal 0o17341354
Hexadecimal 0x3DC2EC

Divisor Catalog (36)

1 2 4 7 14 28 49 98 107 193 196 214 386 428 749 772 1,351 1,498 2,702 2,996 5,243 5,404 9,457 10,486 18,914 20,651 20,972 37,828 41,302 82,604 144,557 289,114 578,228 1,011,899 2,023,798 4,047,596

Collatz Trajectory (84 steps to reach 1)

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

4,047,596 2,023,798 1,011,899 3,035,698 1,517,849 4,553,548 2,276,774 1,138,387 3,415,162 1,707,581 5,122,744 2,561,372 1,280,686 640,343 1,921,030 960,515 2,881,546 1,440,773 4,322,320 2,161,160 1,080,580 540,290 270,145 810,436 405,218 202,609 607,828 303,914 151,957 455,872 227,936 113,968 56,984 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684

More profiles

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