λ
Sigma Notebook

2,197,370

2 × 5 × 7 × 31391
Abundant Even Composite

2,197,370 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 31391 and its 16 divisors sum to 4,520,448.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,520,448
Proper Divisor Sum 2,323,078
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2197367 ← → #2197381

Radix Representation

Decimal 2197370
Binary 1000011000011101111010 (22 bits)
Octal 0o10303572
Hexadecimal 0x21877A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 31,391 62,782 156,955 219,737 313,910 439,474 1,098,685 2,197,370

Collatz Trajectory (148 steps to reach 1)

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

2,197,370 1,098,685 3,296,056 1,648,028 824,014 412,007 1,236,022 618,011 1,854,034 927,017 2,781,052 1,390,526 695,263 2,085,790 1,042,895 3,128,686 1,564,343 4,693,030 2,346,515 7,039,546 3,519,773 10,559,320 5,279,660 2,639,830 1,319,915 3,959,746 1,979,873 5,939,620 2,969,810 1,484,905 4,454,716 2,227,358 1,113,679 3,341,038 1,670,519 5,011,558 2,505,779 7,517,338 3,758,669 11,276,008 5,638,004 2,819,002 1,409,501 4,228,504 2,114,252 1,057,126 528,563 1,585,690 792,845 2,378,536 1,189,268 594,634 297,317 891,952 445,976 222,988 111,494 55,747 167,242 83,621

More profiles

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