λ
Harmonic Matrix

576,873

32 × 11 × 5827
Deficient Odd Composite

576,873 has digital root 9. The neighboring primes are 576791 and 576881; its proper-divisor sum differs from the starting integer by -244,578.

Prime Factor Structure

Factorization String 3^2 × 11 × 5827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 909,168
Proper Divisor Sum 332,295
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #576791 ← → #576881

Radix Representation

Decimal 576873
Binary 10001100110101101001 (20 bits)
Octal 0o2146551
Hexadecimal 0x8CD69

Divisor Catalog (12)

1 3 9 11 33 99 5,827 17,481 52,443 64,097 192,291 576,873

Collatz Trajectory (177 steps to reach 1)

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

576,873 1,730,620 865,310 432,655 1,297,966 648,983 1,946,950 973,475 2,920,426 1,460,213 4,380,640 2,190,320 1,095,160 547,580 273,790 136,895 410,686 205,343 616,030 308,015 924,046 462,023 1,386,070 693,035 2,079,106 1,039,553 3,118,660 1,559,330 779,665 2,338,996 1,169,498 584,749 1,754,248 877,124 438,562 219,281 657,844 328,922 164,461 493,384 246,692 123,346 61,673 185,020 92,510 46,255 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722

More profiles

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