λ
Integer Codex

2,608,676

22 × 7 × 151 × 617
Abundant Even Composite

For 2,608,676, the 24 positive divisors have a total of 5,260,416. Removing 2,608,676 leaves 2,651,740, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 151 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,260,416
Proper Divisor Sum 2,651,740
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2608663 ← → #2608693

Radix Representation

Decimal 2608676
Binary 1001111100111000100100 (22 bits)
Octal 0o11747044
Hexadecimal 0x27CE24

Divisor Catalog (24)

1 2 4 7 14 28 151 302 604 617 1,057 1,234 2,114 2,468 4,228 4,319 8,638 17,276 93,167 186,334 372,668 652,169 1,304,338 2,608,676

Collatz Trajectory (94 steps to reach 1)

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

2,608,676 1,304,338 652,169 1,956,508 978,254 489,127 1,467,382 733,691 2,201,074 1,100,537 3,301,612 1,650,806 825,403 2,476,210 1,238,105 3,714,316 1,857,158 928,579 2,785,738 1,392,869 4,178,608 2,089,304 1,044,652 522,326 261,163 783,490 391,745 1,175,236 587,618 293,809 881,428 440,714 220,357 661,072 330,536 165,268 82,634 41,317 123,952 61,976 30,988 15,494 7,747 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460

More profiles

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