λ
Integer Codex

3,112,609

3112609
Deficient Odd Prime

For 3,112,609, the 2 positive divisors have a total of 3,112,610. Removing 3,112,609 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 3112609
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,112,610
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3112519 ← → #3112621

Radix Representation

Decimal 3112609
Binary 1011110111111010100001 (22 bits)
Octal 0o13677241
Hexadecimal 0x2F7EA1

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

3,112,609 9,337,828 4,668,914 2,334,457 7,003,372 3,501,686 1,750,843 5,252,530 2,626,265 7,878,796 3,939,398 1,969,699 5,909,098 2,954,549 8,863,648 4,431,824 2,215,912 1,107,956 553,978 276,989 830,968 415,484 207,742 103,871 311,614 155,807 467,422 233,711 701,134 350,567 1,051,702 525,851 1,577,554 788,777 2,366,332 1,183,166 591,583 1,774,750 887,375 2,662,126 1,331,063 3,993,190 1,996,595 5,989,786 2,994,893 8,984,680 4,492,340 2,246,170 1,123,085 3,369,256 1,684,628 842,314 421,157 1,263,472 631,736 315,868 157,934 78,967 236,902 118,451

More profiles

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