λ
Harmonic Matrix

2,562,589

2562589
Deficient Odd Prime

2,562,589 has digital root 1. The neighboring primes are 2562559 and 2562601; its proper-divisor sum differs from the starting integer by -2,562,588.

Prime Factor Structure

Factorization String 2562589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,562,590
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2562559 ← → #2562601

Radix Representation

Decimal 2562589
Binary 1001110001101000011101 (22 bits)
Octal 0o11615035
Hexadecimal 0x271A1D

Divisor Catalog (2)

Collatz Trajectory (174 steps to reach 1)

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

2,562,589 7,687,768 3,843,884 1,921,942 960,971 2,882,914 1,441,457 4,324,372 2,162,186 1,081,093 3,243,280 1,621,640 810,820 405,410 202,705 608,116 304,058 152,029 456,088 228,044 114,022 57,011 171,034 85,517 256,552 128,276 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711

More profiles

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