λ
Integer Codex

2,611,309

71 × 36779
Deficient Odd Composite

For 2,611,309, the 4 positive divisors have a total of 2,648,160. Removing 2,611,309 leaves 36,851, which gives the deficient classification.

Prime Factor Structure

Factorization String 71 × 36779
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,648,160
Proper Divisor Sum 36,851
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2611291 ← → #2611321

Radix Representation

Decimal 2611309
Binary 1001111101100001101101 (22 bits)
Octal 0o11754155
Hexadecimal 0x27D86D

Divisor Catalog (4)

1 71 36,779 2,611,309

Collatz Trajectory (187 steps to reach 1)

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

2,611,309 7,833,928 3,916,964 1,958,482 979,241 2,937,724 1,468,862 734,431 2,203,294 1,101,647 3,304,942 1,652,471 4,957,414 2,478,707 7,436,122 3,718,061 11,154,184 5,577,092 2,788,546 1,394,273 4,182,820 2,091,410 1,045,705 3,137,116 1,568,558 784,279 2,352,838 1,176,419 3,529,258 1,764,629 5,293,888 2,646,944 1,323,472 661,736 330,868 165,434 82,717 248,152 124,076 62,038 31,019 93,058 46,529 139,588 69,794 34,897 104,692 52,346 26,173 78,520 39,260 19,630 9,815 29,446 14,723 44,170 22,085 66,256 33,128 16,564

More profiles

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