λ
Integer Codex

6,867,567

32 × 7 × 67 × 1627
Deficient Odd Composite

For 6,867,567, the 24 positive divisors have a total of 11,513,216. Removing 6,867,567 leaves 4,645,649, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 67 × 1627
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,513,216
Proper Divisor Sum 4,645,649
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6867557 ← → #6867571

Radix Representation

Decimal 6867567
Binary 11010001100101001101111 (23 bits)
Octal 0o32145157
Hexadecimal 0x68CA6F

Divisor Catalog (24)

1 3 7 9 21 63 67 201 469 603 1,407 1,627 4,221 4,881 11,389 14,643 34,167 102,501 109,009 327,027 763,063 981,081 2,289,189 6,867,567

Collatz Trajectory (235 steps to reach 1)

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

6,867,567 20,602,702 10,301,351 30,904,054 15,452,027 46,356,082 23,178,041 69,534,124 34,767,062 17,383,531 52,150,594 26,075,297 78,225,892 39,112,946 19,556,473 58,669,420 29,334,710 14,667,355 44,002,066 22,001,033 66,003,100 33,001,550 16,500,775 49,502,326 24,751,163 74,253,490 37,126,745 111,380,236 55,690,118 27,845,059 83,535,178 41,767,589 125,302,768 62,651,384 31,325,692 15,662,846 7,831,423 23,494,270 11,747,135 35,241,406 17,620,703 52,862,110 26,431,055 79,293,166 39,646,583 118,939,750 59,469,875 178,409,626 89,204,813 267,614,440 133,807,220 66,903,610 33,451,805 100,355,416 50,177,708 25,088,854 12,544,427 37,633,282 18,816,641 56,449,924

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