λ
Harmonic Matrix

1,115,282

2 × 7 × 29 × 41 × 67
Deficient Even Composite

1,115,282 has digital root 2. The neighboring primes are 1115273 and 1115297; its proper-divisor sum differs from the starting integer by -174,244.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,056,320
Proper Divisor Sum 941,038
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1115273 ← → #1115297

Radix Representation

Decimal 1115282
Binary 100010000010010010010 (21 bits)
Octal 0o4202222
Hexadecimal 0x110492

Divisor Catalog (32)

1 2 7 14 29 41 58 67 82 134 203 287 406 469 574 938 1,189 1,943 2,378 2,747 3,886 5,494 8,323 13,601 16,646 19,229 27,202 38,458 79,663 159,326 557,641 1,115,282

Collatz Trajectory (85 steps to reach 1)

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

1,115,282 557,641 1,672,924 836,462 418,231 1,254,694 627,347 1,882,042 941,021 2,823,064 1,411,532 705,766 352,883 1,058,650 529,325 1,587,976 793,988 396,994 198,497 595,492 297,746 148,873 446,620 223,310 111,655 334,966 167,483 502,450 251,225 753,676 376,838 188,419 565,258 282,629 847,888 423,944 211,972 105,986 52,993 158,980 79,490 39,745 119,236 59,618 29,809 89,428 44,714 22,357 67,072 33,536 16,768 8,384 4,192 2,096 1,048 524 262 131 394 197

More profiles

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