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Atlas › Integer Profiles › Node 62,345,320

62,345,320

23 × 5 × 1051 × 1483
Abundant Even Composite

62,345,320 factors as 2^3 × 5 × 1051 × 1483. Its 32 positive divisors give a proper-divisor sum of 78,159,800, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1051 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 140,505,120
Proper Divisor Sum 78,159,800
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #62345317 ← → #62345321

Radix Representation

Decimal 62345320
Binary 11101101110101000001101000 (26 bits)
Octal 0o355650150
Hexadecimal 0x3B75068

Divisor Catalog (32)

1 2 4 5 8 10 20 40 1,051 1,483 2,102 2,966 4,204 5,255 5,932 7,415 8,408 10,510 11,864 14,830 21,020 29,660 42,040 59,320 1,558,633 3,117,266 6,234,532 7,793,165 12,469,064 15,586,330 31,172,660 62,345,320

Collatz Trajectory (220 steps to reach 1)

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

62,345,320 31,172,660 15,586,330 7,793,165 23,379,496 11,689,748 5,844,874 2,922,437 8,767,312 4,383,656 2,191,828 1,095,914 547,957 1,643,872 821,936 410,968 205,484 102,742 51,371 154,114 77,057 231,172 115,586 57,793 173,380 86,690 43,345 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914

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