λ
Integer Codex

2,676,850

2 × 52 × 11 × 31 × 157
Abundant Even Composite

For 2,676,850, the 48 positive divisors have a total of 5,642,496. Removing 2,676,850 leaves 2,965,646, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 31 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,642,496
Proper Divisor Sum 2,965,646
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2676847 ← → #2676887

Radix Representation

Decimal 2676850
Binary 1010001101100001110010 (22 bits)
Octal 0o12154162
Hexadecimal 0x28D872

Divisor Catalog (48)

1 2 5 10 11 22 25 31 50 55 62 110 155 157 275 310 314 341 550 682 775 785 1,550 1,570 1,705 1,727 3,410 3,454 3,925 4,867 7,850 8,525 8,635 9,734 17,050 17,270 24,335 43,175 48,670 53,537 86,350 107,074 121,675 243,350 267,685 535,370 1,338,425 2,676,850

Collatz Trajectory (94 steps to reach 1)

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

2,676,850 1,338,425 4,015,276 2,007,638 1,003,819 3,011,458 1,505,729 4,517,188 2,258,594 1,129,297 3,387,892 1,693,946 846,973 2,540,920 1,270,460 635,230 317,615 952,846 476,423 1,429,270 714,635 2,143,906 1,071,953 3,215,860 1,607,930 803,965 2,411,896 1,205,948 602,974 301,487 904,462 452,231 1,356,694 678,347 2,035,042 1,017,521 3,052,564 1,526,282 763,141 2,289,424 1,144,712 572,356 286,178 143,089 429,268 214,634 107,317 321,952 160,976 80,488 40,244 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830

More profiles

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