8,055,226

2 × 31 × 173 × 751

8,055,226 factors as 2 × 31 × 173 × 751. Its 16 positive divisors give a proper-divisor sum of 4,506,182, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 31 × 173 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,561,408

Proper Divisor Sum 4,506,182

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8055197 ← → #8055227

Radix Representation

Decimal	8055226
Binary	11110101110100110111010 (23 bits)
Octal	0o36564672
Hexadecimal	0x7AE9BA

Divisor Catalog (16)

1 2 31 62 173 346 751 1,502 5,363 10,726 23,281 46,562 129,923 259,846 4,027,613 8,055,226

Collatz Trajectory (217 steps to reach 1)

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

8,055,226 4,027,613 12,082,840 6,041,420 3,020,710 1,510,355 4,531,066 2,265,533 6,796,600 3,398,300 1,699,150 849,575 2,548,726 1,274,363 3,823,090 1,911,545 5,734,636 2,867,318 1,433,659 4,300,978 2,150,489 6,451,468 3,225,734 1,612,867 4,838,602 2,419,301 7,257,904 3,628,952 1,814,476 907,238 453,619 1,360,858 680,429 2,041,288 1,020,644 510,322 255,161 765,484 382,742 191,371 574,114 287,057 861,172 430,586 215,293 645,880 322,940 161,470 80,735 242,206 121,103 363,310 181,655 544,966 272,483 817,450 408,725 1,226,176 613,088 306,544

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