λ
Harmonic Matrix

554,759

554759
Deficient Odd Prime

554,759 has digital root 8. The neighboring primes are 554753 and 554767; its proper-divisor sum differs from the starting integer by -554,758.

Prime Factor Structure

Factorization String 554759
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 554,760
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #554753 ← → #554767

Radix Representation

Decimal 554759
Binary 10000111011100000111 (20 bits)
Octal 0o2073407
Hexadecimal 0x87707

Divisor Catalog (2)

1 554,759

Collatz Trajectory (177 steps to reach 1)

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

554,759 1,664,278 832,139 2,496,418 1,248,209 3,744,628 1,872,314 936,157 2,808,472 1,404,236 702,118 351,059 1,053,178 526,589 1,579,768 789,884 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467 1,999,402 999,701 2,999,104 1,499,552 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720 26,360 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520

More profiles

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