λ
Harmonic Matrix

2,744,781

3 × 13 × 70379
Deficient Odd Composite

2,744,781 has digital root 6. The neighboring primes are 2744779 and 2744783; its proper-divisor sum differs from the starting integer by -1,548,282.

Prime Factor Structure

Factorization String 3 × 13 × 70379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,941,280
Proper Divisor Sum 1,196,499
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2744779 ← → #2744783

Radix Representation

Decimal 2744781
Binary 1010011110000111001101 (22 bits)
Octal 0o12360715
Hexadecimal 0x29E1CD

Divisor Catalog (8)

1 3 13 39 70,379 211,137 914,927 2,744,781

Collatz Trajectory (156 steps to reach 1)

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

2,744,781 8,234,344 4,117,172 2,058,586 1,029,293 3,087,880 1,543,940 771,970 385,985 1,157,956 578,978 289,489 868,468 434,234 217,117 651,352 325,676 162,838 81,419 244,258 122,129 366,388 183,194 91,597 274,792 137,396 68,698 34,349 103,048 51,524 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485

More profiles

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