λ
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Atlas › Integer Profiles › Node 52,284,580

52,284,580

22 × 5 × 19 × 223 × 617
Abundant Even Composite

52,284,580 factors as 2^2 × 5 × 19 × 223 × 617. Its 48 positive divisors give a proper-divisor sum of 63,998,300, so this integer is abundant. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 223 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 116,282,880
Proper Divisor Sum 63,998,300
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52284559 ← → #52284601

Radix Representation

Decimal 52284580
Binary 11000111011100110010100100 (26 bits)
Octal 0o307346244
Hexadecimal 0x31DCCA4

Divisor Catalog (48)

1 2 4 5 10 19 20 38 76 95 190 223 380 446 617 892 1,115 1,234 2,230 2,468 3,085 4,237 4,460 6,170 8,474 11,723 12,340 16,948 21,185 23,446 42,370 46,892 58,615 84,740 117,230 137,591 234,460 275,182 550,364 687,955 1,375,910 2,614,229 2,751,820 5,228,458 10,456,916 13,071,145 26,142,290 52,284,580

Collatz Trajectory (318 steps to reach 1)

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

52,284,580 26,142,290 13,071,145 39,213,436 19,606,718 9,803,359 29,410,078 14,705,039 44,115,118 22,057,559 66,172,678 33,086,339 99,259,018 49,629,509 148,888,528 74,444,264 37,222,132 18,611,066 9,305,533 27,916,600 13,958,300 6,979,150 3,489,575 10,468,726 5,234,363 15,703,090 7,851,545 23,554,636 11,777,318 5,888,659 17,665,978 8,832,989 26,498,968 13,249,484 6,624,742 3,312,371 9,937,114 4,968,557 14,905,672 7,452,836 3,726,418 1,863,209 5,589,628 2,794,814 1,397,407 4,192,222 2,096,111 6,288,334 3,144,167 9,432,502 4,716,251 14,148,754 7,074,377 21,223,132 10,611,566 5,305,783 15,917,350 7,958,675 23,876,026 11,938,013

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