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Atlas › Integer Profiles › Node 10,691,742

10,691,742

2 × 3 × 17 × 37 × 2833
Abundant Even Composite

10,691,742 factors as 2 × 3 × 17 × 37 × 2833. Its 32 positive divisors give a proper-divisor sum of 12,569,730, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 37 × 2833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,261,472
Proper Divisor Sum 12,569,730
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10691731 ← → #10691753

Radix Representation

Decimal 10691742
Binary 101000110010010010011110 (24 bits)
Octal 0o50622236
Hexadecimal 0xA3249E

Divisor Catalog (32)

1 2 3 6 17 34 37 51 74 102 111 222 629 1,258 1,887 2,833 3,774 5,666 8,499 16,998 48,161 96,322 104,821 144,483 209,642 288,966 314,463 628,926 1,781,957 3,563,914 5,345,871 10,691,742

Collatz Trajectory (119 steps to reach 1)

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

10,691,742 5,345,871 16,037,614 8,018,807 24,056,422 12,028,211 36,084,634 18,042,317 54,126,952 27,063,476 13,531,738 6,765,869 20,297,608 10,148,804 5,074,402 2,537,201 7,611,604 3,805,802 1,902,901 5,708,704 2,854,352 1,427,176 713,588 356,794 178,397 535,192 267,596 133,798 66,899 200,698 100,349 301,048 150,524 75,262 37,631 112,894 56,447 169,342 84,671 254,014 127,007 381,022 190,511 571,534 285,767 857,302 428,651 1,285,954 642,977 1,928,932 964,466 482,233 1,446,700 723,350 361,675 1,085,026 542,513 1,627,540 813,770 406,885

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