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Atlas › Integer Profiles › Node 28,440,808

28,440,808

23 × 113 × 2671
Abundant Even Composite

28,440,808 factors as 2^3 × 11^3 × 2671. Its 32 positive divisors give a proper-divisor sum of 30,236,312, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 11^3 × 2671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,677,120
Proper Divisor Sum 30,236,312
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28440791 ← → #28440821

Radix Representation

Decimal 28440808
Binary 1101100011111100011101000 (25 bits)
Octal 0o154374350
Hexadecimal 0x1B1F8E8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 121 242 484 968 1,331 2,662 2,671 5,324 5,342 10,648 10,684 21,368 29,381 58,762 117,524 235,048 323,191 646,382 1,292,764 2,585,528 3,555,101 7,110,202 14,220,404 28,440,808

Collatz Trajectory (149 steps to reach 1)

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

28,440,808 14,220,404 7,110,202 3,555,101 10,665,304 5,332,652 2,666,326 1,333,163 3,999,490 1,999,745 5,999,236 2,999,618 1,499,809 4,499,428 2,249,714 1,124,857 3,374,572 1,687,286 843,643 2,530,930 1,265,465 3,796,396 1,898,198 949,099 2,847,298 1,423,649 4,270,948 2,135,474 1,067,737 3,203,212 1,601,606 800,803 2,402,410 1,201,205 3,603,616 1,801,808 900,904 450,452 225,226 112,613 337,840 168,920 84,460 42,230 21,115 63,346 31,673 95,020 47,510 23,755 71,266 35,633 106,900 53,450 26,725 80,176 40,088 20,044 10,022 5,011

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