λ
Integer Codex

917,143

827 × 1109
Deficient Odd Composite

For 917,143, the 4 positive divisors have a total of 919,080. Removing 917,143 leaves 1,937, which gives the deficient classification.

Prime Factor Structure

Factorization String 827 × 1109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 919,080
Proper Divisor Sum 1,937
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #917141 ← → #917153

Radix Representation

Decimal 917143
Binary 11011111111010010111 (20 bits)
Octal 0o3377227
Hexadecimal 0xDFE97

Divisor Catalog (4)

1 827 1,109 917,143

Collatz Trajectory (108 steps to reach 1)

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

917,143 2,751,430 1,375,715 4,127,146 2,063,573 6,190,720 3,095,360 1,547,680 773,840 386,920 193,460 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 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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