λ
Integer Codex

727,043

31 × 47 × 499
Deficient Odd Composite

For 727,043, the 8 positive divisors have a total of 768,000. Removing 727,043 leaves 40,957, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 47 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 768,000
Proper Divisor Sum 40,957
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #727021 ← → #727049

Radix Representation

Decimal 727043
Binary 10110001100000000011 (20 bits)
Octal 0o2614003
Hexadecimal 0xB1803

Divisor Catalog (8)

1 31 47 499 1,457 15,469 23,453 727,043

Collatz Trajectory (167 steps to reach 1)

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

727,043 2,181,130 1,090,565 3,271,696 1,635,848 817,924 408,962 204,481 613,444 306,722 153,361 460,084 230,042 115,021 345,064 172,532 86,266 43,133 129,400 64,700 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682

More profiles

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