λ
Integer Codex

2,659,480

23 × 5 × 17 × 3911
Abundant Even Composite

For 2,659,480, the 32 positive divisors have a total of 6,337,440. Removing 2,659,480 leaves 3,677,960, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 3911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,337,440
Proper Divisor Sum 3,677,960
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2659471 ← → #2659483

Radix Representation

Decimal 2659480
Binary 1010001001010010011000 (22 bits)
Octal 0o12112230
Hexadecimal 0x289498

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3,911 7,822 15,644 19,555 31,288 39,110 66,487 78,220 132,974 156,440 265,948 332,435 531,896 664,870 1,329,740 2,659,480

Collatz Trajectory (81 steps to reach 1)

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

2,659,480 1,329,740 664,870 332,435 997,306 498,653 1,495,960 747,980 373,990 186,995 560,986 280,493 841,480 420,740 210,370 105,185 315,556 157,778 78,889 236,668 118,334 59,167 177,502 88,751 266,254 133,127 399,382 199,691 599,074 299,537 898,612 449,306 224,653 673,960 336,980 168,490 84,245 252,736 126,368 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469

More profiles

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