λ
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Atlas › Integer Profiles › Node 21,010,682

21,010,682

2 × 7 × 112 × 79 × 157
Deficient Even Composite

21,010,682 factors as 2 × 7 × 11^2 × 79 × 157. Its 48 positive divisors give a proper-divisor sum of 19,336,198, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 79 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,346,880
Proper Divisor Sum 19,336,198
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #21010681 ← → #21010687

Radix Representation

Decimal 21010682
Binary 1010000001001100011111010 (25 bits)
Octal 0o120114372
Hexadecimal 0x14098FA

Divisor Catalog (48)

1 2 7 11 14 22 77 79 121 154 157 158 242 314 553 847 869 1,099 1,106 1,694 1,727 1,738 2,198 3,454 6,083 9,559 12,089 12,166 12,403 18,997 19,118 24,178 24,806 37,994 66,913 86,821 132,979 133,826 136,433 173,642 265,958 272,866 955,031 1,500,763 1,910,062 3,001,526 10,505,341 21,010,682

Collatz Trajectory (265 steps to reach 1)

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

21,010,682 10,505,341 31,516,024 15,758,012 7,879,006 3,939,503 11,818,510 5,909,255 17,727,766 8,863,883 26,591,650 13,295,825 39,887,476 19,943,738 9,971,869 29,915,608 14,957,804 7,478,902 3,739,451 11,218,354 5,609,177 16,827,532 8,413,766 4,206,883 12,620,650 6,310,325 18,930,976 9,465,488 4,732,744 2,366,372 1,183,186 591,593 1,774,780 887,390 443,695 1,331,086 665,543 1,996,630 998,315 2,994,946 1,497,473 4,492,420 2,246,210 1,123,105 3,369,316 1,684,658 842,329 2,526,988 1,263,494 631,747 1,895,242 947,621 2,842,864 1,421,432 710,716 355,358 177,679 533,038 266,519 799,558

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