λ
Prime Ledger

1,192,048

24 × 11 × 13 × 521
Abundant Even Composite

1,192,048 has the prime decomposition 2^4 × 11 × 13 × 521. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,718,576
Proper Divisor Sum 1,526,528
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1192039 ← → #1192069

Radix Representation

Decimal 1192048
Binary 100100011000001110000 (21 bits)
Octal 0o4430160
Hexadecimal 0x123070

Divisor Catalog (40)

1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 521 572 1,042 1,144 2,084 2,288 4,168 5,731 6,773 8,336 11,462 13,546 22,924 27,092 45,848 54,184 74,503 91,696 108,368 149,006 298,012 596,024 1,192,048

Collatz Trajectory (98 steps to reach 1)

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

1,192,048 596,024 298,012 149,006 74,503 223,510 111,755 335,266 167,633 502,900 251,450 125,725 377,176 188,588 94,294 47,147 141,442 70,721 212,164 106,082 53,041 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211

More profiles

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