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Atlas › Integer Profiles › Node 2,864,488

2,864,488

23 × 11 × 43 × 757
Abundant Even Composite

2,864,488 factors as 2^3 × 11 × 43 × 757. Its 32 positive divisors give a proper-divisor sum of 3,138,872, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 43 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,003,360
Proper Divisor Sum 3,138,872
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2864479 ← → #2864527

Radix Representation

Decimal 2864488
Binary 1010111011010101101000 (22 bits)
Octal 0o12732550
Hexadecimal 0x2BB568

Divisor Catalog (32)

1 2 4 8 11 22 43 44 86 88 172 344 473 757 946 1,514 1,892 3,028 3,784 6,056 8,327 16,654 32,551 33,308 65,102 66,616 130,204 260,408 358,061 716,122 1,432,244 2,864,488

Collatz Trajectory (120 steps to reach 1)

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

2,864,488 1,432,244 716,122 358,061 1,074,184 537,092 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372 191,186 95,593 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505

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