8,389,264

2⁴ × 13 × 53 × 761

8,389,264 has the prime decomposition 2^4 × 13 × 53 × 761. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 53 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,858,232

Proper Divisor Sum 9,468,968

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8389261 ← → #8389301

Radix Representation

Decimal	8389264
Binary	100000000000001010010000 (24 bits)
Octal	0o40001220
Hexadecimal	0x800290

Divisor Catalog (40)

1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 761 848 1,378 1,522 2,756 3,044 5,512 6,088 9,893 11,024 12,176 19,786 39,572 40,333 79,144 80,666 158,288 161,332 322,664 524,329 645,328 1,048,658 2,097,316 4,194,632 8,389,264

Collatz Trajectory (106 steps to reach 1)

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

8,389,264 4,194,632 2,097,316 1,048,658 524,329 1,572,988 786,494 393,247 1,179,742 589,871 1,769,614 884,807 2,654,422 1,327,211 3,981,634 1,990,817 5,972,452 2,986,226 1,493,113 4,479,340 2,239,670 1,119,835 3,359,506 1,679,753 5,039,260 2,519,630 1,259,815 3,779,446 1,889,723 5,669,170 2,834,585 8,503,756 4,251,878 2,125,939 6,377,818 3,188,909 9,566,728 4,783,364 2,391,682 1,195,841 3,587,524 1,793,762 896,881 2,690,644 1,345,322 672,661 2,017,984 1,008,992 504,496 252,248 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210

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