λ
Integer Codex

2,980,628

22 × 7 × 106451
Abundant Even Composite

For 2,980,628, the 12 positive divisors have a total of 5,961,312. Removing 2,980,628 leaves 2,980,684, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 106451
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,961,312
Proper Divisor Sum 2,980,684
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2980583 ← → #2980669

Radix Representation

Decimal 2980628
Binary 1011010111101100010100 (22 bits)
Octal 0o13275424
Hexadecimal 0x2D7B14

Divisor Catalog (12)

1 2 4 7 14 28 106,451 212,902 425,804 745,157 1,490,314 2,980,628

Collatz Trajectory (58 steps to reach 1)

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

2,980,628 1,490,314 745,157 2,235,472 1,117,736 558,868 279,434 139,717 419,152 209,576 104,788 52,394 26,197 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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