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Atlas › Integer Profiles › Node 57,727,252

57,727,252

22 × 11 × 37 × 59 × 601
Deficient Even Composite

57,727,252 factors as 2^2 × 11 × 37 × 59 × 601. Its 48 positive divisors give a proper-divisor sum of 57,567,788, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 37 × 59 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,295,040
Proper Divisor Sum 57,567,788
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57727231 ← → #57727253

Radix Representation

Decimal 57727252
Binary 11011100001101100100010100 (26 bits)
Octal 0o334154424
Hexadecimal 0x370D914

Divisor Catalog (48)

1 2 4 11 22 37 44 59 74 118 148 236 407 601 649 814 1,202 1,298 1,628 2,183 2,404 2,596 4,366 6,611 8,732 13,222 22,237 24,013 26,444 35,459 44,474 48,026 70,918 88,948 96,052 141,836 244,607 390,049 489,214 780,098 978,428 1,311,983 1,560,196 2,623,966 5,247,932 14,431,813 28,863,626 57,727,252

Collatz Trajectory (145 steps to reach 1)

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

57,727,252 28,863,626 14,431,813 43,295,440 21,647,720 10,823,860 5,411,930 2,705,965 8,117,896 4,058,948 2,029,474 1,014,737 3,044,212 1,522,106 761,053 2,283,160 1,141,580 570,790 285,395 856,186 428,093 1,284,280 642,140 321,070 160,535 481,606 240,803 722,410 361,205 1,083,616 541,808 270,904 135,452 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290 57,145 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171

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