λ
Integer Codex

1,184,748

22 × 3 × 98729
Abundant Even Composite

For 1,184,748, the 12 positive divisors have a total of 2,764,440. Removing 1,184,748 leaves 1,579,692, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 98729
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,764,440
Proper Divisor Sum 1,579,692
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1184741 ← → #1184749

Radix Representation

Decimal 1184748
Binary 100100001001111101100 (21 bits)
Octal 0o4411754
Hexadecimal 0x1213EC

Divisor Catalog (12)

1 2 3 4 6 12 98,729 197,458 296,187 394,916 592,374 1,184,748

Collatz Trajectory (191 steps to reach 1)

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

1,184,748 592,374 296,187 888,562 444,281 1,332,844 666,422 333,211 999,634 499,817 1,499,452 749,726 374,863 1,124,590 562,295 1,686,886 843,443 2,530,330 1,265,165 3,795,496 1,897,748 948,874 474,437 1,423,312 711,656 355,828 177,914 88,957 266,872 133,436 66,718 33,359 100,078 50,039 150,118 75,059 225,178 112,589 337,768 168,884 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253

More profiles

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