λ
Harmonic Matrix

2,620,657

13 × 201589
Deficient Odd Composite

2,620,657 has digital root 1. The neighboring primes are 2620637 and 2620661; its proper-divisor sum differs from the starting integer by -2,419,054.

Prime Factor Structure

Factorization String 13 × 201589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,822,260
Proper Divisor Sum 201,603
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2620637 ← → #2620661

Radix Representation

Decimal 2620657
Binary 1001111111110011110001 (22 bits)
Octal 0o11776361
Hexadecimal 0x27FCF1

Divisor Catalog (4)

1 13 201,589 2,620,657

Collatz Trajectory (174 steps to reach 1)

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

2,620,657 7,861,972 3,930,986 1,965,493 5,896,480 2,948,240 1,474,120 737,060 368,530 184,265 552,796 276,398 138,199 414,598 207,299 621,898 310,949 932,848 466,424 233,212 116,606 58,303 174,910 87,455 262,366 131,183 393,550 196,775 590,326 295,163 885,490 442,745 1,328,236 664,118 332,059 996,178 498,089 1,494,268 747,134 373,567 1,120,702 560,351 1,681,054 840,527 2,521,582 1,260,791 3,782,374 1,891,187 5,673,562 2,836,781 8,510,344 4,255,172 2,127,586 1,063,793 3,191,380 1,595,690 797,845 2,393,536 1,196,768 598,384

More profiles

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