λ
Integer Codex

2,510,559

32 × 29 × 9619
Deficient Odd Composite

For 2,510,559, the 12 positive divisors have a total of 3,751,800. Removing 2,510,559 leaves 1,241,241, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 29 × 9619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,751,800
Proper Divisor Sum 1,241,241
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2510551 ← → #2510567

Radix Representation

Decimal 2510559
Binary 1001100100111011011111 (22 bits)
Octal 0o11447337
Hexadecimal 0x264EDF

Divisor Catalog (12)

1 3 9 29 87 261 9,619 28,857 86,571 278,951 836,853 2,510,559

Collatz Trajectory (161 steps to reach 1)

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

2,510,559 7,531,678 3,765,839 11,297,518 5,648,759 16,946,278 8,473,139 25,419,418 12,709,709 38,129,128 19,064,564 9,532,282 4,766,141 14,298,424 7,149,212 3,574,606 1,787,303 5,361,910 2,680,955 8,042,866 4,021,433 12,064,300 6,032,150 3,016,075 9,048,226 4,524,113 13,572,340 6,786,170 3,393,085 10,179,256 5,089,628 2,544,814 1,272,407 3,817,222 1,908,611 5,725,834 2,862,917 8,588,752 4,294,376 2,147,188 1,073,594 536,797 1,610,392 805,196 402,598 201,299 603,898 301,949 905,848 452,924 226,462 113,231 339,694 169,847 509,542 254,771 764,314 382,157 1,146,472 573,236

More profiles

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