λ
Modular Archive

917,337

3 × 17 × 17987
Deficient Odd Composite

The decimal integer 917,337 is 11011111111101011001 in binary (20 bits), 3377531 in octal and DFF59 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 3 × 17 × 17987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,295,136
Proper Divisor Sum 377,799
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #917333 ← → #917353

Radix Representation

Decimal 917337
Binary 11011111111101011001 (20 bits)
Octal 0o3377531
Hexadecimal 0xDFF59

Divisor Catalog (8)

1 3 17 51 17,987 53,961 305,779 917,337

Collatz Trajectory (108 steps to reach 1)

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

917,337 2,752,012 1,376,006 688,003 2,064,010 1,032,005 3,096,016 1,548,008 774,004 387,002 193,501 580,504 290,252 145,126 72,563 217,690 108,845 326,536 163,268 81,634 40,817 122,452 61,226 30,613 91,840 45,920 22,960 11,480 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831

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