λ
Integer Codex

1,337,982

2 × 3 × 173 × 1289
Abundant Even Composite

For 1,337,982, the 16 positive divisors have a total of 2,693,520. Removing 1,337,982 leaves 1,355,538, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 173 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,693,520
Proper Divisor Sum 1,355,538
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1337981 ← → #1337983

Radix Representation

Decimal 1337982
Binary 101000110101001111110 (21 bits)
Octal 0o5065176
Hexadecimal 0x146A7E

Divisor Catalog (16)

1 2 3 6 173 346 519 1,038 1,289 2,578 3,867 7,734 222,997 445,994 668,991 1,337,982

Collatz Trajectory (93 steps to reach 1)

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

1,337,982 668,991 2,006,974 1,003,487 3,010,462 1,505,231 4,515,694 2,257,847 6,773,542 3,386,771 10,160,314 5,080,157 15,240,472 7,620,236 3,810,118 1,905,059 5,715,178 2,857,589 8,572,768 4,286,384 2,143,192 1,071,596 535,798 267,899 803,698 401,849 1,205,548 602,774 301,387 904,162 452,081 1,356,244 678,122 339,061 1,017,184 508,592 254,296 127,148 63,574 31,787 95,362 47,681 143,044 71,522 35,761 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415

More profiles

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