λ
Harmonic Matrix

2,248,115

5 × 521 × 863
Deficient Odd Composite

2,248,115 has digital root 5. The neighboring primes are 2248087 and 2248117; its proper-divisor sum differs from the starting integer by -1,790,182.

Prime Factor Structure

Factorization String 5 × 521 × 863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,706,048
Proper Divisor Sum 457,933
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2248087 ← → #2248117

Radix Representation

Decimal 2248115
Binary 1000100100110110110011 (22 bits)
Octal 0o10446663
Hexadecimal 0x224DB3

Divisor Catalog (8)

1 5 521 863 2,605 4,315 449,623 2,248,115

Collatz Trajectory (179 steps to reach 1)

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

2,248,115 6,744,346 3,372,173 10,116,520 5,058,260 2,529,130 1,264,565 3,793,696 1,896,848 948,424 474,212 237,106 118,553 355,660 177,830 88,915 266,746 133,373 400,120 200,060 100,030 50,015 150,046 75,023 225,070 112,535 337,606 168,803 506,410 253,205 759,616 379,808 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398

More profiles

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