λ
Prime Ledger

3,168,594

2 × 32 × 11 × 13 × 1231
Abundant Even Composite

3,168,594 has the prime decomposition 2 × 3^2 × 11 × 13 × 1231. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 1231
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,072,064
Proper Divisor Sum 4,903,470
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3168563 ← → #3168617

Radix Representation

Decimal 3168594
Binary 1100000101100101010010 (22 bits)
Octal 0o14054522
Hexadecimal 0x305952

Divisor Catalog (48)

1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1,231 1,287 2,462 2,574 3,693 7,386 11,079 13,541 16,003 22,158 27,082 32,006 40,623 48,009 81,246 96,018 121,869 144,027 176,033 243,738 288,054 352,066 528,099 1,056,198 1,584,297 3,168,594

Collatz Trajectory (195 steps to reach 1)

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

3,168,594 1,584,297 4,752,892 2,376,446 1,188,223 3,564,670 1,782,335 5,347,006 2,673,503 8,020,510 4,010,255 12,030,766 6,015,383 18,046,150 9,023,075 27,069,226 13,534,613 40,603,840 20,301,920 10,150,960 5,075,480 2,537,740 1,268,870 634,435 1,903,306 951,653 2,854,960 1,427,480 713,740 356,870 178,435 535,306 267,653 802,960 401,480 200,740 100,370 50,185 150,556 75,278 37,639 112,918 56,459 169,378 84,689 254,068 127,034 63,517 190,552 95,276 47,638 23,819 71,458 35,729 107,188 53,594 26,797 80,392 40,196 20,098

More profiles

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