λ
Harmonic Matrix

2,677,790

2 × 5 × 331 × 809
Deficient Even Composite

2,677,790 has digital root 2. The neighboring primes are 2677783 and 2677793; its proper-divisor sum differs from the starting integer by -515,020.

Prime Factor Structure

Factorization String 2 × 5 × 331 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,840,560
Proper Divisor Sum 2,162,770
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2677783 ← → #2677793

Radix Representation

Decimal 2677790
Binary 1010001101110000011110 (22 bits)
Octal 0o12156036
Hexadecimal 0x28DC1E

Divisor Catalog (16)

1 2 5 10 331 662 809 1,618 1,655 3,310 4,045 8,090 267,779 535,558 1,338,895 2,677,790

Collatz Trajectory (143 steps to reach 1)

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

2,677,790 1,338,895 4,016,686 2,008,343 6,025,030 3,012,515 9,037,546 4,518,773 13,556,320 6,778,160 3,389,080 1,694,540 847,270 423,635 1,270,906 635,453 1,906,360 953,180 476,590 238,295 714,886 357,443 1,072,330 536,165 1,608,496 804,248 402,124 201,062 100,531 301,594 150,797 452,392 226,196 113,098 56,549 169,648 84,824 42,412 21,206 10,603 31,810 15,905 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990

More profiles

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