λ
Ratio Atlas

6,863,781

3 × 61 × 37507
Deficient Odd Composite

6,863,781 factors as 3 × 61 × 37507. Its 8 positive divisors give a proper-divisor sum of 2,438,203, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3 × 61 × 37507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,301,984
Proper Divisor Sum 2,438,203
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6863771 ← → #6863797

Radix Representation

Decimal 6863781
Binary 11010001011101110100101 (23 bits)
Octal 0o32135645
Hexadecimal 0x68BBA5

Divisor Catalog (8)

1 3 61 183 37,507 112,521 2,287,927 6,863,781

Collatz Trajectory (240 steps to reach 1)

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

6,863,781 20,591,344 10,295,672 5,147,836 2,573,918 1,286,959 3,860,878 1,930,439 5,791,318 2,895,659 8,686,978 4,343,489 13,030,468 6,515,234 3,257,617 9,772,852 4,886,426 2,443,213 7,329,640 3,664,820 1,832,410 916,205 2,748,616 1,374,308 687,154 343,577 1,030,732 515,366 257,683 773,050 386,525 1,159,576 579,788 289,894 144,947 434,842 217,421 652,264 326,132 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535

More profiles

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