λ
Harmonic Matrix

5,747,181

3 × 11 × 174157
Deficient Odd Composite

5,747,181 has digital root 6. The neighboring primes are 5747179 and 5747201; its proper-divisor sum differs from the starting integer by -3,134,778.

Prime Factor Structure

Factorization String 3 × 11 × 174157
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,359,584
Proper Divisor Sum 2,612,403
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5747179 ← → #5747201

Radix Representation

Decimal 5747181
Binary 10101111011000111101101 (23 bits)
Octal 0o25730755
Hexadecimal 0x57B1ED

Divisor Catalog (8)

1 3 11 33 174,157 522,471 1,915,727 5,747,181

Collatz Trajectory (121 steps to reach 1)

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

5,747,181 17,241,544 8,620,772 4,310,386 2,155,193 6,465,580 3,232,790 1,616,395 4,849,186 2,424,593 7,273,780 3,636,890 1,818,445 5,455,336 2,727,668 1,363,834 681,917 2,045,752 1,022,876 511,438 255,719 767,158 383,579 1,150,738 575,369 1,726,108 863,054 431,527 1,294,582 647,291 1,941,874 970,937 2,912,812 1,456,406 728,203 2,184,610 1,092,305 3,276,916 1,638,458 819,229 2,457,688 1,228,844 614,422 307,211 921,634 460,817 1,382,452 691,226 345,613 1,036,840 518,420 259,210 129,605 388,816 194,408 97,204 48,602 24,301 72,904 36,452

More profiles

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