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Atlas › Integer Profiles › Node 62,821,170

62,821,170

2 × 34 × 5 × 77557
Abundant Even Composite

62,821,170 factors as 2 × 3^4 × 5 × 77557. Its 40 positive divisors give a proper-divisor sum of 106,100,154, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 77557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 168,921,324
Proper Divisor Sum 106,100,154
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #62821147 ← → #62821183

Radix Representation

Decimal 62821170
Binary 11101111101001001100110010 (26 bits)
Octal 0o357511462
Hexadecimal 0x3BE9332

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 77,557 155,114 232,671 387,785 465,342 698,013 775,570 1,163,355 1,396,026 2,094,039 2,326,710 3,490,065 4,188,078 6,282,117 6,980,130 10,470,195 12,564,234 20,940,390 31,410,585 62,821,170

Collatz Trajectory (101 steps to reach 1)

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

62,821,170 31,410,585 94,231,756 47,115,878 23,557,939 70,673,818 35,336,909 106,010,728 53,005,364 26,502,682 13,251,341 39,754,024 19,877,012 9,938,506 4,969,253 14,907,760 7,453,880 3,726,940 1,863,470 931,735 2,795,206 1,397,603 4,192,810 2,096,405 6,289,216 3,144,608 1,572,304 786,152 393,076 196,538 98,269 294,808 147,404 73,702 36,851 110,554 55,277 165,832 82,916 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418

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