λ
Harmonic Matrix

5,710,240

25 × 5 × 89 × 401
Abundant Even Composite

5,710,240 has digital root 1. The neighboring primes are 5710223 and 5710261; its proper-divisor sum differs from the starting integer by 2,255,560.

Prime Factor Structure

Factorization String 2^5 × 5 × 89 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,676,040
Proper Divisor Sum 7,965,800
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5710223 ← → #5710261

Radix Representation

Decimal 5710240
Binary 10101110010000110100000 (23 bits)
Octal 0o25620640
Hexadecimal 0x5721A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 401 445 712 802 890 1,424 1,604 1,780 2,005 2,848 3,208 3,560 4,010 6,416 7,120 8,020 12,832 14,240 16,040 32,080 35,689 64,160 71,378 142,756 178,445 285,512 356,890 571,024 713,780 1,142,048 1,427,560 2,855,120 5,710,240

Collatz Trajectory (77 steps to reach 1)

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

5,710,240 2,855,120 1,427,560 713,780 356,890 178,445 535,336 267,668 133,834 66,917 200,752 100,376 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

More profiles

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