λ
Zalai Atlas

8,426,728

23 × 19 × 55439
Deficient Even Composite

8,426,728 has the prime decomposition 2^3 × 19 × 55439. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 55439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,632,000
Proper Divisor Sum 8,205,272
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8426701 ← → #8426731

Radix Representation

Decimal 8426728
Binary 100000001001010011101000 (24 bits)
Octal 0o40112350
Hexadecimal 0x8094E8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 55,439 110,878 221,756 443,512 1,053,341 2,106,682 4,213,364 8,426,728

Collatz Trajectory (155 steps to reach 1)

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

8,426,728 4,213,364 2,106,682 1,053,341 3,160,024 1,580,012 790,006 395,003 1,185,010 592,505 1,777,516 888,758 444,379 1,333,138 666,569 1,999,708 999,854 499,927 1,499,782 749,891 2,249,674 1,124,837 3,374,512 1,687,256 843,628 421,814 210,907 632,722 316,361 949,084 474,542 237,271 711,814 355,907 1,067,722 533,861 1,601,584 800,792 400,396 200,198 100,099 300,298 150,149 450,448 225,224 112,612 56,306 28,153 84,460 42,230 21,115 63,346 31,673 95,020 47,510 23,755 71,266 35,633 106,900 53,450

More profiles

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