λ
Ratio Atlas

8,188,282

2 × 83 × 107 × 461
Deficient Even Composite

8,188,282 factors as 2 × 83 × 107 × 461. Its 16 positive divisors give a proper-divisor sum of 4,385,510, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 83 × 107 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,573,792
Proper Divisor Sum 4,385,510
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8188261 ← → #8188291

Radix Representation

Decimal 8188282
Binary 11111001111000101111010 (23 bits)
Octal 0o37170572
Hexadecimal 0x7CF17A

Divisor Catalog (16)

1 2 83 107 166 214 461 922 8,881 17,762 38,263 49,327 76,526 98,654 4,094,141 8,188,282

Collatz Trajectory (230 steps to reach 1)

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

8,188,282 4,094,141 12,282,424 6,141,212 3,070,606 1,535,303 4,605,910 2,302,955 6,908,866 3,454,433 10,363,300 5,181,650 2,590,825 7,772,476 3,886,238 1,943,119 5,829,358 2,914,679 8,744,038 4,372,019 13,116,058 6,558,029 19,674,088 9,837,044 4,918,522 2,459,261 7,377,784 3,688,892 1,844,446 922,223 2,766,670 1,383,335 4,150,006 2,075,003 6,225,010 3,112,505 9,337,516 4,668,758 2,334,379 7,003,138 3,501,569 10,504,708 5,252,354 2,626,177 7,878,532 3,939,266 1,969,633 5,908,900 2,954,450 1,477,225 4,431,676 2,215,838 1,107,919 3,323,758 1,661,879 4,985,638 2,492,819 7,478,458 3,739,229 11,217,688

More profiles

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