λ
Integer Codex

1,098,618

2 × 3 × 19 × 23 × 419
Abundant Even Composite

For 1,098,618, the 32 positive divisors have a total of 2,419,200. Removing 1,098,618 leaves 1,320,582, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 23 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,419,200
Proper Divisor Sum 1,320,582
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1098613 ← → #1098623

Radix Representation

Decimal 1098618
Binary 100001100001101111010 (21 bits)
Octal 0o4141572
Hexadecimal 0x10C37A

Divisor Catalog (32)

1 2 3 6 19 23 38 46 57 69 114 138 419 437 838 874 1,257 1,311 2,514 2,622 7,961 9,637 15,922 19,274 23,883 28,911 47,766 57,822 183,103 366,206 549,309 1,098,618

Collatz Trajectory (116 steps to reach 1)

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

1,098,618 549,309 1,647,928 823,964 411,982 205,991 617,974 308,987 926,962 463,481 1,390,444 695,222 347,611 1,042,834 521,417 1,564,252 782,126 391,063 1,173,190 586,595 1,759,786 879,893 2,639,680 1,319,840 659,920 329,960 164,980 82,490 41,245 123,736 61,868 30,934 15,467 46,402 23,201 69,604 34,802 17,401 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816

More profiles

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