7,077,640

2³ × 5 × 59 × 2999

7,077,640 has the prime decomposition 2^3 × 5 × 59 × 2999. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,200,000

Proper Divisor Sum 9,122,360

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7077617 ← → #7077667

Radix Representation

Decimal	7077640
Binary	11010111111111100001000 (23 bits)
Octal	0o32777410
Hexadecimal	0x6BFF08

Divisor Catalog (32)

1 2 4 5 8 10 20 40 59 118 236 295 472 590 1,180 2,360 2,999 5,998 11,996 14,995 23,992 29,990 59,980 119,960 176,941 353,882 707,764 884,705 1,415,528 1,769,410 3,538,820 7,077,640

Collatz Trajectory (160 steps to reach 1)

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

7,077,640 3,538,820 1,769,410 884,705 2,654,116 1,327,058 663,529 1,990,588 995,294 497,647 1,492,942 746,471 2,239,414 1,119,707 3,359,122 1,679,561 5,038,684 2,519,342 1,259,671 3,779,014 1,889,507 5,668,522 2,834,261 8,502,784 4,251,392 2,125,696 1,062,848 531,424 265,712 132,856 66,428 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894

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