7,746,004

2² × 7 × 67 × 4129

7,746,004 is even and not a perfect square. Its factorization is 2^2 × 7 × 67 × 4129 and its 24 divisors sum to 15,727,040.

Prime Factor Structure

Factorization String 2^2 × 7 × 67 × 4129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,727,040

Proper Divisor Sum 7,981,036

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7745989 ← → #7746017

Radix Representation

Decimal	7746004
Binary	11101100011000111010100 (23 bits)
Octal	0o35430724
Hexadecimal	0x7631D4

Divisor Catalog (24)

1 2 4 7 14 28 67 134 268 469 938 1,876 4,129 8,258 16,516 28,903 57,806 115,612 276,643 553,286 1,106,572 1,936,501 3,873,002 7,746,004

Collatz Trajectory (173 steps to reach 1)

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

7,746,004 3,873,002 1,936,501 5,809,504 2,904,752 1,452,376 726,188 363,094 181,547 544,642 272,321 816,964 408,482 204,241 612,724 306,362 153,181 459,544 229,772 114,886 57,443 172,330 86,165 258,496 129,248 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194

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