λ
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Atlas › Integer Profiles › Node 1,122,192

1,122,192

24 × 32 × 7793
Abundant Even Composite

1,122,192 factors as 2^4 × 3^2 × 7793. Its 30 positive divisors give a proper-divisor sum of 2,018,790, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7793
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 3,140,982
Proper Divisor Sum 2,018,790
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1122181 ← → #1122227

Radix Representation

Decimal 1122192
Binary 100010001111110010000 (21 bits)
Octal 0o4217620
Hexadecimal 0x111F90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7,793 15,586 23,379 31,172 46,758 62,344 70,137 93,516 124,688 140,274 187,032 280,548 374,064 561,096 1,122,192

Collatz Trajectory (72 steps to reach 1)

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

1,122,192 561,096 280,548 140,274 70,137 210,412 105,206 52,603 157,810 78,905 236,716 118,358 59,179 177,538 88,769 266,308 133,154 66,577 199,732 99,866 49,933 149,800 74,900 37,450 18,725 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

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