λ
Math Directory

2,116,090

2 × 5 × 61 × 3469
Deficient Even Composite

2,116,090 factors as 2 × 5 × 61 × 3469. Its 16 positive divisors give a proper-divisor sum of 1,756,430, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 3469
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,872,520
Proper Divisor Sum 1,756,430
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2116063 ← → #2116097

Radix Representation

Decimal 2116090
Binary 1000000100100111111010 (22 bits)
Octal 0o10044772
Hexadecimal 0x2049FA

Divisor Catalog (16)

1 2 5 10 61 122 305 610 3,469 6,938 17,345 34,690 211,609 423,218 1,058,045 2,116,090

Collatz Trajectory (148 steps to reach 1)

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

2,116,090 1,058,045 3,174,136 1,587,068 793,534 396,767 1,190,302 595,151 1,785,454 892,727 2,678,182 1,339,091 4,017,274 2,008,637 6,025,912 3,012,956 1,506,478 753,239 2,259,718 1,129,859 3,389,578 1,694,789 5,084,368 2,542,184 1,271,092 635,546 317,773 953,320 476,660 238,330 119,165 357,496 178,748 89,374 44,687 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419 127,258 63,629 190,888 95,444 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237

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