λ
Integer Codex

3,621,961

7 × 47 × 101 × 109
Deficient Odd Composite

For 3,621,961, the 16 positive divisors have a total of 4,308,480. Removing 3,621,961 leaves 686,519, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 47 × 101 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,308,480
Proper Divisor Sum 686,519
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3621941 ← → #3621973

Radix Representation

Decimal 3621961
Binary 1101110100010001001001 (22 bits)
Octal 0o15642111
Hexadecimal 0x374449

Divisor Catalog (16)

1 7 47 101 109 329 707 763 4,747 5,123 11,009 33,229 35,861 77,063 517,423 3,621,961

Collatz Trajectory (115 steps to reach 1)

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

3,621,961 10,865,884 5,432,942 2,716,471 8,149,414 4,074,707 12,224,122 6,112,061 18,336,184 9,168,092 4,584,046 2,292,023 6,876,070 3,438,035 10,314,106 5,157,053 15,471,160 7,735,580 3,867,790 1,933,895 5,801,686 2,900,843 8,702,530 4,351,265 13,053,796 6,526,898 3,263,449 9,790,348 4,895,174 2,447,587 7,342,762 3,671,381 11,014,144 5,507,072 2,753,536 1,376,768 688,384 344,192 172,096 86,048 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833

More profiles

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