λ
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Atlas › Integer Profiles › Node 6,192,016

6,192,016

24 × 173 × 2237
Deficient Even Composite

6,192,016 factors as 2^4 × 173 × 2237. Its 20 positive divisors give a proper-divisor sum of 5,879,756, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 173 × 2237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,071,772
Proper Divisor Sum 5,879,756
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6191959 ← → #6192023

Radix Representation

Decimal 6192016
Binary 10111100111101110010000 (23 bits)
Octal 0o27475620
Hexadecimal 0x5E7B90

Divisor Catalog (20)

1 2 4 8 16 173 346 692 1,384 2,237 2,768 4,474 8,948 17,896 35,792 387,001 774,002 1,548,004 3,096,008 6,192,016

Collatz Trajectory (196 steps to reach 1)

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

6,192,016 3,096,008 1,548,004 774,002 387,001 1,161,004 580,502 290,251 870,754 435,377 1,306,132 653,066 326,533 979,600 489,800 244,900 122,450 61,225 183,676 91,838 45,919 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551

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