λ
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62,529,220

22 × 5 × 13 × 29 × 8293
Abundant Even Composite

62,529,220 factors as 2^2 × 5 × 13 × 29 × 8293. Its 48 positive divisors give a proper-divisor sum of 83,776,940, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 29 × 8293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 146,306,160
Proper Divisor Sum 83,776,940
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #62529199 ← → #62529221

Radix Representation

Decimal 62529220
Binary 11101110100001111011000100 (26 bits)
Octal 0o356417304
Hexadecimal 0x3BA1EC4

Divisor Catalog (48)

1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1,508 1,885 3,770 7,540 8,293 16,586 33,172 41,465 82,930 107,809 165,860 215,618 240,497 431,236 480,994 539,045 961,988 1,078,090 1,202,485 2,156,180 2,404,970 3,126,461 4,809,940 6,252,922 12,505,844 15,632,305 31,264,610 62,529,220

Collatz Trajectory (189 steps to reach 1)

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

62,529,220 31,264,610 15,632,305 46,896,916 23,448,458 11,724,229 35,172,688 17,586,344 8,793,172 4,396,586 2,198,293 6,594,880 3,297,440 1,648,720 824,360 412,180 206,090 103,045 309,136 154,568 77,284 38,642 19,321 57,964 28,982 14,491 43,474 21,737 65,212 32,606 16,303 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

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