λ
Harmonic Matrix

5,754,987

32 × 7 × 167 × 547
Deficient Odd Composite

5,754,987 has digital root 9. The neighboring primes are 5754979 and 5754989; its proper-divisor sum differs from the starting integer by -1,935,318.

Prime Factor Structure

Factorization String 3^2 × 7 × 167 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,574,656
Proper Divisor Sum 3,819,669
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5754979 ← → #5754989

Radix Representation

Decimal 5754987
Binary 10101111101000001101011 (23 bits)
Octal 0o25750153
Hexadecimal 0x57D06B

Divisor Catalog (24)

1 3 7 9 21 63 167 501 547 1,169 1,503 1,641 3,507 3,829 4,923 10,521 11,487 34,461 91,349 274,047 639,443 822,141 1,918,329 5,754,987

Collatz Trajectory (108 steps to reach 1)

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

5,754,987 17,264,962 8,632,481 25,897,444 12,948,722 6,474,361 19,423,084 9,711,542 4,855,771 14,567,314 7,283,657 21,850,972 10,925,486 5,462,743 16,388,230 8,194,115 24,582,346 12,291,173 36,873,520 18,436,760 9,218,380 4,609,190 2,304,595 6,913,786 3,456,893 10,370,680 5,185,340 2,592,670 1,296,335 3,889,006 1,944,503 5,833,510 2,916,755 8,750,266 4,375,133 13,125,400 6,562,700 3,281,350 1,640,675 4,922,026 2,461,013 7,383,040 3,691,520 1,845,760 922,880 461,440 230,720 115,360 57,680 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169

More profiles

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