λ
Integer Codex

543,757

79 × 6883
Deficient Odd Composite

For 543,757, the 4 positive divisors have a total of 550,720. Removing 543,757 leaves 6,963, which gives the deficient classification.

Prime Factor Structure

Factorization String 79 × 6883
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 550,720
Proper Divisor Sum 6,963
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #543713 ← → #543769

Radix Representation

Decimal 543757
Binary 10000100110000001101 (20 bits)
Octal 0o2046015
Hexadecimal 0x84C0D

Divisor Catalog (4)

1 79 6,883 543,757

Collatz Trajectory (89 steps to reach 1)

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

543,757 1,631,272 815,636 407,818 203,909 611,728 305,864 152,932 76,466 38,233 114,700 57,350 28,675 86,026 43,013 129,040 64,520 32,260 16,130 8,065 24,196 12,098 6,049 18,148 9,074 4,537 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577

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