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Atlas › Integer Profiles › Node 57,721,628

57,721,628

22 × 23 × 31 × 37 × 547
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 37 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 111,949,824
Proper Divisor Sum 54,228,196
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57721589 ← → #57721637

Radix Representation

Decimal 57721628
Binary 11011100001100001100011100 (26 bits)
Octal 0o334141434
Hexadecimal 0x370C31C

Divisor Catalog (48)

1 2 4 23 31 37 46 62 74 92 124 148 547 713 851 1,094 1,147 1,426 1,702 2,188 2,294 2,852 3,404 4,588 12,581 16,957 20,239 25,162 26,381 33,914 40,478 50,324 52,762 67,828 80,956 105,524 390,011 465,497 627,409 780,022 930,994 1,254,818 1,560,044 1,861,988 2,509,636 14,430,407 28,860,814 57,721,628

Collatz Trajectory (145 steps to reach 1)

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

57,721,628 28,860,814 14,430,407 43,291,222 21,645,611 64,936,834 32,468,417 97,405,252 48,702,626 24,351,313 73,053,940 36,526,970 18,263,485 54,790,456 27,395,228 13,697,614 6,848,807 20,546,422 10,273,211 30,819,634 15,409,817 46,229,452 23,114,726 11,557,363 34,672,090 17,336,045 52,008,136 26,004,068 13,002,034 6,501,017 19,503,052 9,751,526 4,875,763 14,627,290 7,313,645 21,940,936 10,970,468 5,485,234 2,742,617 8,227,852 4,113,926 2,056,963 6,170,890 3,085,445 9,256,336 4,628,168 2,314,084 1,157,042 578,521 1,735,564 867,782 433,891 1,301,674 650,837 1,952,512 976,256 488,128 244,064 122,032 61,016

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