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Atlas › Integer Profiles › Node 9,883,510

9,883,510

2 × 5 × 7 × 13 × 10861
Abundant Even Composite

9,883,510 factors as 2 × 5 × 7 × 13 × 10861. Its 32 positive divisors give a proper-divisor sum of 12,014,282, so this integer is abundant. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 10861
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,897,792
Proper Divisor Sum 12,014,282
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9883499 ← → #9883541

Radix Representation

Decimal 9883510
Binary 100101101100111101110110 (24 bits)
Octal 0o45547566
Hexadecimal 0x96CF76

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 10,861 21,722 54,305 76,027 108,610 141,193 152,054 282,386 380,135 705,965 760,270 988,351 1,411,930 1,976,702 4,941,755 9,883,510

Collatz Trajectory (313 steps to reach 1)

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

9,883,510 4,941,755 14,825,266 7,412,633 22,237,900 11,118,950 5,559,475 16,678,426 8,339,213 25,017,640 12,508,820 6,254,410 3,127,205 9,381,616 4,690,808 2,345,404 1,172,702 586,351 1,759,054 879,527 2,638,582 1,319,291 3,957,874 1,978,937 5,936,812 2,968,406 1,484,203 4,452,610 2,226,305 6,678,916 3,339,458 1,669,729 5,009,188 2,504,594 1,252,297 3,756,892 1,878,446 939,223 2,817,670 1,408,835 4,226,506 2,113,253 6,339,760 3,169,880 1,584,940 792,470 396,235 1,188,706 594,353 1,783,060 891,530 445,765 1,337,296 668,648 334,324 167,162 83,581 250,744 125,372 62,686

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