λ
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Atlas › Integer Profiles › Node 56,776,300

56,776,300

22 × 52 × 72 × 11587
Abundant Even Composite

56,776,300 factors as 2^2 × 5^2 × 7^2 × 11587. Its 54 positive divisors give a proper-divisor sum of 86,555,672, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^2 × 11587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 143,331,972
Proper Divisor Sum 86,555,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #56776271 ← → #56776333

Radix Representation

Decimal 56776300
Binary 11011000100101011001101100 (26 bits)
Octal 0o330453154
Hexadecimal 0x362566C

Divisor Catalog (54)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1,225 2,450 4,900 11,587 23,174 46,348 57,935 81,109 115,870 162,218 231,740 289,675 324,436 405,545 567,763 579,350 811,090 1,135,526 1,158,700 1,622,180 2,027,725 2,271,052 2,838,815 4,055,450 5,677,630 8,110,900 11,355,260 14,194,075 28,388,150 56,776,300

Collatz Trajectory (238 steps to reach 1)

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

56,776,300 28,388,150 14,194,075 42,582,226 21,291,113 63,873,340 31,936,670 15,968,335 47,905,006 23,952,503 71,857,510 35,928,755 107,786,266 53,893,133 161,679,400 80,839,700 40,419,850 20,209,925 60,629,776 30,314,888 15,157,444 7,578,722 3,789,361 11,368,084 5,684,042 2,842,021 8,526,064 4,263,032 2,131,516 1,065,758 532,879 1,598,638 799,319 2,397,958 1,198,979 3,596,938 1,798,469 5,395,408 2,697,704 1,348,852 674,426 337,213 1,011,640 505,820 252,910 126,455 379,366 189,683 569,050 284,525 853,576 426,788 213,394 106,697 320,092 160,046 80,023 240,070 120,035 360,106

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