λ
Harmonic Matrix

2,730,587

2730587
Deficient Odd Prime

2,730,587 has digital root 5. The neighboring primes are 2730577 and 2730593; its proper-divisor sum differs from the starting integer by -2,730,586.

Prime Factor Structure

Factorization String 2730587
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,730,588
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2730577 ← → #2730593

Radix Representation

Decimal 2730587
Binary 1010011010101001011011 (22 bits)
Octal 0o12325133
Hexadecimal 0x29AA5B

Divisor Catalog (2)

1 2,730,587

Collatz Trajectory (192 steps to reach 1)

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

2,730,587 8,191,762 4,095,881 12,287,644 6,143,822 3,071,911 9,215,734 4,607,867 13,823,602 6,911,801 20,735,404 10,367,702 5,183,851 15,551,554 7,775,777 23,327,332 11,663,666 5,831,833 17,495,500 8,747,750 4,373,875 13,121,626 6,560,813 19,682,440 9,841,220 4,920,610 2,460,305 7,380,916 3,690,458 1,845,229 5,535,688 2,767,844 1,383,922 691,961 2,075,884 1,037,942 518,971 1,556,914 778,457 2,335,372 1,167,686 583,843 1,751,530 875,765 2,627,296 1,313,648 656,824 328,412 164,206 82,103 246,310 123,155 369,466 184,733 554,200 277,100 138,550 69,275 207,826 103,913

More profiles

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