8,397,490

2 × 5 × 17 × 47 × 1051

For 8,397,490, the 32 positive divisors have a total of 16,360,704. Removing 8,397,490 leaves 7,963,214, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 47 × 1051

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,360,704

Proper Divisor Sum 7,963,214

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8397457 ← → #8397509

Radix Representation

Decimal	8397490
Binary	100000000010001010110010 (24 bits)
Octal	0o40021262
Hexadecimal	0x8022B2

Divisor Catalog (32)

1 2 5 10 17 34 47 85 94 170 235 470 799 1,051 1,598 2,102 3,995 5,255 7,990 10,510 17,867 35,734 49,397 89,335 98,794 178,670 246,985 493,970 839,749 1,679,498 4,198,745 8,397,490

Collatz Trajectory (155 steps to reach 1)

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

8,397,490 4,198,745 12,596,236 6,298,118 3,149,059 9,447,178 4,723,589 14,170,768 7,085,384 3,542,692 1,771,346 885,673 2,657,020 1,328,510 664,255 1,992,766 996,383 2,989,150 1,494,575 4,483,726 2,241,863 6,725,590 3,362,795 10,088,386 5,044,193 15,132,580 7,566,290 3,783,145 11,349,436 5,674,718 2,837,359 8,512,078 4,256,039 12,768,118 6,384,059 19,152,178 9,576,089 28,728,268 14,364,134 7,182,067 21,546,202 10,773,101 32,319,304 16,159,652 8,079,826 4,039,913 12,119,740 6,059,870 3,029,935 9,089,806 4,544,903 13,634,710 6,817,355 20,452,066 10,226,033 30,678,100 15,339,050 7,669,525 23,008,576 11,504,288

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