λ
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2,632,008

23 × 3 × 17 × 6451
Abundant Even Composite

2,632,008 factors as 2^3 × 3 × 17 × 6451. Its 32 positive divisors give a proper-divisor sum of 4,336,152, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 6451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,968,160
Proper Divisor Sum 4,336,152
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2632001 ← → #2632009

Radix Representation

Decimal 2632008
Binary 1010000010100101001000 (22 bits)
Octal 0o12024510
Hexadecimal 0x282948

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 6,451 12,902 19,353 25,804 38,706 51,608 77,412 109,667 154,824 219,334 329,001 438,668 658,002 877,336 1,316,004 2,632,008

Collatz Trajectory (174 steps to reach 1)

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

2,632,008 1,316,004 658,002 329,001 987,004 493,502 246,751 740,254 370,127 1,110,382 555,191 1,665,574 832,787 2,498,362 1,249,181 3,747,544 1,873,772 936,886 468,443 1,405,330 702,665 2,107,996 1,053,998 526,999 1,580,998 790,499 2,371,498 1,185,749 3,557,248 1,778,624 889,312 444,656 222,328 111,164 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783

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