550,772

2² × 19 × 7247

For 550,772, the 12 positive divisors have a total of 1,014,720. Removing 550,772 leaves 463,948, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 19 × 7247

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,014,720

Proper Divisor Sum 463,948

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #550763 ← → #550789

Radix Representation

Decimal	550772
Binary	10000110011101110100 (20 bits)
Octal	0o2063564
Hexadecimal	0x86774

Divisor Catalog (12)

1 2 4 19 38 76 7,247 14,494 28,988 137,693 275,386 550,772

Collatz Trajectory (71 steps to reach 1)

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

550,772 275,386 137,693 413,080 206,540 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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