λ
Harmonic Matrix

2,759,917

2759917
Deficient Odd Prime

2,759,917 has digital root 4. The neighboring primes are 2759909 and 2759929; its proper-divisor sum differs from the starting integer by -2,759,916.

Prime Factor Structure

Factorization String 2759917
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,759,918
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2759909 ← → #2759929

Radix Representation

Decimal 2759917
Binary 1010100001110011101101 (22 bits)
Octal 0o12416355
Hexadecimal 0x2A1CED

Divisor Catalog (2)

Collatz Trajectory (200 steps to reach 1)

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

2,759,917 8,279,752 4,139,876 2,069,938 1,034,969 3,104,908 1,552,454 776,227 2,328,682 1,164,341 3,493,024 1,746,512 873,256 436,628 218,314 109,157 327,472 163,736 81,868 40,934 20,467 61,402 30,701 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487

More profiles

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