λ
Sigma Notebook

3,144,870

2 × 32 × 5 × 83 × 421
Abundant Even Composite

3,144,870 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 83 × 421 and its 48 divisors sum to 8,294,832.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 83 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,294,832
Proper Divisor Sum 5,149,962
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3144853 ← → #3144871

Radix Representation

Decimal 3144870
Binary 1011111111110010100110 (22 bits)
Octal 0o13776246
Hexadecimal 0x2FFCA6

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 421 498 747 830 842 1,245 1,263 1,494 2,105 2,490 2,526 3,735 3,789 4,210 6,315 7,470 7,578 12,630 18,945 34,943 37,890 69,886 104,829 174,715 209,658 314,487 349,430 524,145 628,974 1,048,290 1,572,435 3,144,870

Collatz Trajectory (76 steps to reach 1)

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

3,144,870 1,572,435 4,717,306 2,358,653 7,075,960 3,537,980 1,768,990 884,495 2,653,486 1,326,743 3,980,230 1,990,115 5,970,346 2,985,173 8,955,520 4,477,760 2,238,880 1,119,440 559,720 279,860 139,930 69,965 209,896 104,948 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328

More profiles

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