λ
Ratio Atlas

84,239,014

2 × 113 × 372739
Deficient Even Composite

84,239,014 factors as 2 × 113 × 372739. Its 8 positive divisors give a proper-divisor sum of 43,238,066, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 113 × 372739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 127,477,080
Proper Divisor Sum 43,238,066
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #84238981 ← → #84239039

Radix Representation

Decimal 84239014
Binary 101000001010110001010100110 (27 bits)
Octal 0o501261246
Hexadecimal 0x50562A6

Divisor Catalog (8)

Collatz Trajectory (205 steps to reach 1)

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

84,239,014 42,119,507 126,358,522 63,179,261 189,537,784 94,768,892 47,384,446 23,692,223 71,076,670 35,538,335 106,615,006 53,307,503 159,922,510 79,961,255 239,883,766 119,941,883 359,825,650 179,912,825 539,738,476 269,869,238 134,934,619 404,803,858 202,401,929 607,205,788 303,602,894 151,801,447 455,404,342 227,702,171 683,106,514 341,553,257 1,024,659,772 512,329,886 256,164,943 768,494,830 384,247,415 1,152,742,246 576,371,123 1,729,113,370 864,556,685 2,593,670,056 1,296,835,028 648,417,514 324,208,757 972,626,272 486,313,136 243,156,568 121,578,284 60,789,142 30,394,571 91,183,714 45,591,857 136,775,572 68,387,786 34,193,893 102,581,680 51,290,840 25,645,420 12,822,710 6,411,355 19,234,066

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