λ
Harmonic Matrix

3,675,067

11 × 61 × 5477
Deficient Odd Composite

3,675,067 has digital root 7. The neighboring primes are 3675059 and 3675079; its proper-divisor sum differs from the starting integer by -3,274,502.

Prime Factor Structure

Factorization String 11 × 61 × 5477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,075,632
Proper Divisor Sum 400,565
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3675059 ← → #3675079

Radix Representation

Decimal 3675067
Binary 1110000001001110111011 (22 bits)
Octal 0o16011673
Hexadecimal 0x3813BB

Divisor Catalog (8)

1 11 61 671 5,477 60,247 334,097 3,675,067

Collatz Trajectory (97 steps to reach 1)

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

3,675,067 11,025,202 5,512,601 16,537,804 8,268,902 4,134,451 12,403,354 6,201,677 18,605,032 9,302,516 4,651,258 2,325,629 6,976,888 3,488,444 1,744,222 872,111 2,616,334 1,308,167 3,924,502 1,962,251 5,886,754 2,943,377 8,830,132 4,415,066 2,207,533 6,622,600 3,311,300 1,655,650 827,825 2,483,476 1,241,738 620,869 1,862,608 931,304 465,652 232,826 116,413 349,240 174,620 87,310 43,655 130,966 65,483 196,450 98,225 294,676 147,338 73,669 221,008 110,504 55,252 27,626 13,813 41,440 20,720 10,360 5,180 2,590 1,295 3,886

More profiles

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