λ
Integer Codex

6,174,381

3 × 1373 × 1499
Deficient Odd Composite

For 6,174,381, the 8 positive divisors have a total of 8,244,000. Removing 6,174,381 leaves 2,069,619, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 1373 × 1499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,244,000
Proper Divisor Sum 2,069,619
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6174379 ← → #6174391

Radix Representation

Decimal 6174381
Binary 10111100011011010101101 (23 bits)
Octal 0o27433255
Hexadecimal 0x5E36AD

Divisor Catalog (8)

1 3 1,373 1,499 4,119 4,497 2,058,127 6,174,381

Collatz Trajectory (196 steps to reach 1)

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

6,174,381 18,523,144 9,261,572 4,630,786 2,315,393 6,946,180 3,473,090 1,736,545 5,209,636 2,604,818 1,302,409 3,907,228 1,953,614 976,807 2,930,422 1,465,211 4,395,634 2,197,817 6,593,452 3,296,726 1,648,363 4,945,090 2,472,545 7,417,636 3,708,818 1,854,409 5,563,228 2,781,614 1,390,807 4,172,422 2,086,211 6,258,634 3,129,317 9,387,952 4,693,976 2,346,988 1,173,494 586,747 1,760,242 880,121 2,640,364 1,320,182 660,091 1,980,274 990,137 2,970,412 1,485,206 742,603 2,227,810 1,113,905 3,341,716 1,670,858 835,429 2,506,288 1,253,144 626,572 313,286 156,643 469,930 234,965

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