λ
Prime Ledger

963,406

2 × 37 × 47 × 277
Deficient Even Composite

963,406 has the prime decomposition 2 × 37 × 47 × 277. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 47 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,521,216
Proper Divisor Sum 557,810
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #963397 ← → #963419

Radix Representation

Decimal 963406
Binary 11101011001101001110 (20 bits)
Octal 0o3531516
Hexadecimal 0xEB34E

Divisor Catalog (16)

1 2 37 47 74 94 277 554 1,739 3,478 10,249 13,019 20,498 26,038 481,703 963,406

Collatz Trajectory (214 steps to reach 1)

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

963,406 481,703 1,445,110 722,555 2,167,666 1,083,833 3,251,500 1,625,750 812,875 2,438,626 1,219,313 3,657,940 1,828,970 914,485 2,743,456 1,371,728 685,864 342,932 171,466 85,733 257,200 128,600 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113

More profiles

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