λ
Harmonic Matrix

2,743,315

5 × 19 × 67 × 431
Deficient Odd Composite

2,743,315 has digital root 7. The neighboring primes are 2743297 and 2743381; its proper-divisor sum differs from the starting integer by -1,961,510.

Prime Factor Structure

Factorization String 5 × 19 × 67 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,525,120
Proper Divisor Sum 781,805
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2743297 ← → #2743381

Radix Representation

Decimal 2743315
Binary 1010011101110000010011 (22 bits)
Octal 0o12356023
Hexadecimal 0x29DC13

Divisor Catalog (16)

1 5 19 67 95 335 431 1,273 2,155 6,365 8,189 28,877 40,945 144,385 548,663 2,743,315

Collatz Trajectory (200 steps to reach 1)

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

2,743,315 8,229,946 4,114,973 12,344,920 6,172,460 3,086,230 1,543,115 4,629,346 2,314,673 6,944,020 3,472,010 1,736,005 5,208,016 2,604,008 1,302,004 651,002 325,501 976,504 488,252 244,126 122,063 366,190 183,095 549,286 274,643 823,930 411,965 1,235,896 617,948 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289 3,868 1,934 967 2,902

More profiles

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