6,416,004

2² × 3 × 7 × 17 × 4493

6,416,004 is even and not a perfect square. Its factorization is 2^2 × 3 × 7 × 17 × 4493 and its 48 divisors sum to 18,119,808.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 4493

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,119,808

Proper Divisor Sum 11,703,804

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6415999 ← → #6416071

Radix Representation

Decimal	6416004
Binary	11000011110011010000100 (23 bits)
Octal	0o30363204
Hexadecimal	0x61E684

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1,428 4,493 8,986 13,479 17,972 26,958 31,451 53,916 62,902 76,381 94,353 125,804 152,762 188,706 229,143 305,524 377,412 458,286 534,667 916,572 1,069,334 1,604,001 2,138,668 3,208,002 6,416,004

Collatz Trajectory (240 steps to reach 1)

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

6,416,004 3,208,002 1,604,001 4,812,004 2,406,002 1,203,001 3,609,004 1,804,502 902,251 2,706,754 1,353,377 4,060,132 2,030,066 1,015,033 3,045,100 1,522,550 761,275 2,283,826 1,141,913 3,425,740 1,712,870 856,435 2,569,306 1,284,653 3,853,960 1,926,980 963,490 481,745 1,445,236 722,618 361,309 1,083,928 541,964 270,982 135,491 406,474 203,237 609,712 304,856 152,428 76,214 38,107 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696

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