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Atlas › Integer Profiles › Node 2,861,982

2,861,982

2 × 32 × 23 × 31 × 223
Abundant Even Composite

2,861,982 factors as 2 × 3^2 × 23 × 31 × 223. Its 48 positive divisors give a proper-divisor sum of 3,847,266, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 31 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,709,248
Proper Divisor Sum 3,847,266
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2861977 ← → #2862011

Radix Representation

Decimal 2861982
Binary 1010111010101110011110 (22 bits)
Octal 0o12725636
Hexadecimal 0x2BAB9E

Divisor Catalog (48)

1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 223 279 414 446 558 669 713 1,338 1,426 2,007 2,139 4,014 4,278 5,129 6,417 6,913 10,258 12,834 13,826 15,387 20,739 30,774 41,478 46,161 62,217 92,322 124,434 158,999 317,998 476,997 953,994 1,430,991 2,861,982

Collatz Trajectory (125 steps to reach 1)

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

2,861,982 1,430,991 4,292,974 2,146,487 6,439,462 3,219,731 9,659,194 4,829,597 14,488,792 7,244,396 3,622,198 1,811,099 5,433,298 2,716,649 8,149,948 4,074,974 2,037,487 6,112,462 3,056,231 9,168,694 4,584,347 13,753,042 6,876,521 20,629,564 10,314,782 5,157,391 15,472,174 7,736,087 23,208,262 11,604,131 34,812,394 17,406,197 52,218,592 26,109,296 13,054,648 6,527,324 3,263,662 1,631,831 4,895,494 2,447,747 7,343,242 3,671,621 11,014,864 5,507,432 2,753,716 1,376,858 688,429 2,065,288 1,032,644 516,322 258,161 774,484 387,242 193,621 580,864 290,432 145,216 72,608 36,304 18,152

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