λ
Integer Codex

1,037,948

22 × 47 × 5521
Deficient Even Composite

For 1,037,948, the 12 positive divisors have a total of 1,855,392. Removing 1,037,948 leaves 817,444, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 47 × 5521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,855,392
Proper Divisor Sum 817,444
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1037941 ← → #1037957

Radix Representation

Decimal 1037948
Binary 11111101011001111100 (20 bits)
Octal 0o3753174
Hexadecimal 0xFD67C

Divisor Catalog (12)

1 2 4 47 94 188 5,521 11,042 22,084 259,487 518,974 1,037,948

Collatz Trajectory (196 steps to reach 1)

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

1,037,948 518,974 259,487 778,462 389,231 1,167,694 583,847 1,751,542 875,771 2,627,314 1,313,657 3,940,972 1,970,486 985,243 2,955,730 1,477,865 4,433,596 2,216,798 1,108,399 3,325,198 1,662,599 4,987,798 2,493,899 7,481,698 3,740,849 11,222,548 5,611,274 2,805,637 8,416,912 4,208,456 2,104,228 1,052,114 526,057 1,578,172 789,086 394,543 1,183,630 591,815 1,775,446 887,723 2,663,170 1,331,585 3,994,756 1,997,378 998,689 2,996,068 1,498,034 749,017 2,247,052 1,123,526 561,763 1,685,290 842,645 2,527,936 1,263,968 631,984 315,992 157,996 78,998 39,499

More profiles

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