λ
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6,428,084

22 × 132 × 37 × 257
Deficient Even Composite

6,428,084 factors as 2^2 × 13^2 × 37 × 257. Its 36 positive divisors give a proper-divisor sum of 6,130,840, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 37 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,558,924
Proper Divisor Sum 6,130,840
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6428083 ← → #6428087

Radix Representation

Decimal 6428084
Binary 11000100001010110110100 (23 bits)
Octal 0o30412664
Hexadecimal 0x6215B4

Divisor Catalog (36)

1 2 4 13 26 37 52 74 148 169 257 338 481 514 676 962 1,028 1,924 3,341 6,253 6,682 9,509 12,506 13,364 19,018 25,012 38,036 43,433 86,866 123,617 173,732 247,234 494,468 1,607,021 3,214,042 6,428,084

Collatz Trajectory (72 steps to reach 1)

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

6,428,084 3,214,042 1,607,021 4,821,064 2,410,532 1,205,266 602,633 1,807,900 903,950 451,975 1,355,926 677,963 2,033,890 1,016,945 3,050,836 1,525,418 762,709 2,288,128 1,144,064 572,032 286,016 143,008 71,504 35,752 17,876 8,938 4,469 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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