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Atlas › Integer Profiles › Node 2,631,996

2,631,996

22 × 32 × 113 × 647
Abundant Even Composite

2,631,996 factors as 2^2 × 3^2 × 113 × 647. Its 36 positive divisors give a proper-divisor sum of 4,090,356, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 113 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,722,352
Proper Divisor Sum 4,090,356
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2631989 ← → #2632001

Radix Representation

Decimal 2631996
Binary 1010000010100100111100 (22 bits)
Octal 0o12024474
Hexadecimal 0x28293C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 113 226 339 452 647 678 1,017 1,294 1,356 1,941 2,034 2,588 3,882 4,068 5,823 7,764 11,646 23,292 73,111 146,222 219,333 292,444 438,666 657,999 877,332 1,315,998 2,631,996

Collatz Trajectory (125 steps to reach 1)

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

2,631,996 1,315,998 657,999 1,973,998 986,999 2,960,998 1,480,499 4,441,498 2,220,749 6,662,248 3,331,124 1,665,562 832,781 2,498,344 1,249,172 624,586 312,293 936,880 468,440 234,220 117,110 58,555 175,666 87,833 263,500 131,750 65,875 197,626 98,813 296,440 148,220 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168

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