λ
Harmonic Matrix

2,763,713

197 × 14029
Deficient Odd Composite

2,763,713 has digital root 2. The neighboring primes are 2763679 and 2763751; its proper-divisor sum differs from the starting integer by -2,749,486.

Prime Factor Structure

Factorization String 197 × 14029
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,777,940
Proper Divisor Sum 14,227
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2763679 ← → #2763751

Radix Representation

Decimal 2763713
Binary 1010100010101111000001 (22 bits)
Octal 0o12425701
Hexadecimal 0x2A2BC1

Divisor Catalog (4)

1 197 14,029 2,763,713

Collatz Trajectory (63 steps to reach 1)

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

2,763,713 8,291,140 4,145,570 2,072,785 6,218,356 3,109,178 1,554,589 4,663,768 2,331,884 1,165,942 582,971 1,748,914 874,457 2,623,372 1,311,686 655,843 1,967,530 983,765 2,951,296 1,475,648 737,824 368,912 184,456 92,228 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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