λ
Integer Codex

1,689,367

1689367
Deficient Odd Prime

For 1,689,367, the 2 positive divisors have a total of 1,689,368. Removing 1,689,367 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1689367
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,689,368
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1689353 ← → #1689377

Radix Representation

Decimal 1689367
Binary 110011100011100010111 (21 bits)
Octal 0o6343427
Hexadecimal 0x19C717

Divisor Catalog (2)

1 1,689,367

Collatz Trajectory (189 steps to reach 1)

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

1,689,367 5,068,102 2,534,051 7,602,154 3,801,077 11,403,232 5,701,616 2,850,808 1,425,404 712,702 356,351 1,069,054 534,527 1,603,582 801,791 2,405,374 1,202,687 3,608,062 1,804,031 5,412,094 2,706,047 8,118,142 4,059,071 12,177,214 6,088,607 18,265,822 9,132,911 27,398,734 13,699,367 41,098,102 20,549,051 61,647,154 30,823,577 92,470,732 46,235,366 23,117,683 69,353,050 34,676,525 104,029,576 52,014,788 26,007,394 13,003,697 39,011,092 19,505,546 9,752,773 29,258,320 14,629,160 7,314,580 3,657,290 1,828,645 5,485,936 2,742,968 1,371,484 685,742 342,871 1,028,614 514,307 1,542,922 771,461 2,314,384

More profiles

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