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Atlas › Integer Profiles › Node 57,779,456

57,779,456

28 × 7 × 19 × 1697
Abundant Even Composite

57,779,456 factors as 2^8 × 7 × 19 × 1697. Its 72 positive divisors give a proper-divisor sum of 81,049,024, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^8 × 7 × 19 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 138,828,480
Proper Divisor Sum 81,049,024
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #57779453 ← → #57779461

Radix Representation

Decimal 57779456
Binary 11011100011010010100000000 (26 bits)
Octal 0o334322400
Hexadecimal 0x371A500

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1,064 1,216 1,697 1,792 2,128 2,432 3,394 4,256 4,864 6,788 8,512 11,879 13,576 17,024 23,758 27,152 32,243 34,048 47,516 54,304 64,486 95,032 108,608 128,972 190,064 217,216 225,701 257,944 380,128 434,432 451,402 515,888 760,256 902,804

Collatz Trajectory (145 steps to reach 1)

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

57,779,456 28,889,728 14,444,864 7,222,432 3,611,216 1,805,608 902,804 451,402 225,701 677,104 338,552 169,276 84,638 42,319 126,958 63,479 190,438 95,219 285,658 142,829 428,488 214,244 107,122 53,561 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496

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