λ
Integer Codex

2,108,428

22 × 7 × 257 × 293
Abundant Even Composite

For 2,108,428, the 24 positive divisors have a total of 4,247,712. Removing 2,108,428 leaves 2,139,284, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 257 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,247,712
Proper Divisor Sum 2,139,284
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2108401 ← → #2108429

Radix Representation

Decimal 2108428
Binary 1000000010110000001100 (22 bits)
Octal 0o10026014
Hexadecimal 0x202C0C

Divisor Catalog (24)

1 2 4 7 14 28 257 293 514 586 1,028 1,172 1,799 2,051 3,598 4,102 7,196 8,204 75,301 150,602 301,204 527,107 1,054,214 2,108,428

Collatz Trajectory (153 steps to reach 1)

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

2,108,428 1,054,214 527,107 1,581,322 790,661 2,371,984 1,185,992 592,996 296,498 148,249 444,748 222,374 111,187 333,562 166,781 500,344 250,172 125,086 62,543 187,630 93,815 281,446 140,723 422,170 211,085 633,256 316,628 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231

More profiles

← Previous Integer #2,108,427 Browse Full Index Next Integer #2,108,429 →