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Atlas › Integer Profiles › Node 62,344,667

62,344,667

7 × 11 × 37 × 79 × 277
Deficient Odd Composite

62,344,667 factors as 7 × 11 × 37 × 79 × 277. Its 32 positive divisors give a proper-divisor sum of 18,786,853, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 79 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,131,520
Proper Divisor Sum 18,786,853
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #62344657 ← → #62344669

Radix Representation

Decimal 62344667
Binary 11101101110100110111011011 (26 bits)
Octal 0o355646733
Hexadecimal 0x3B74DDB

Divisor Catalog (32)

1 7 11 37 77 79 259 277 407 553 869 1,939 2,849 2,923 3,047 6,083 10,249 20,461 21,329 21,883 32,153 71,743 112,739 153,181 225,071 240,713 789,173 809,671 1,684,991 5,667,697 8,906,381 62,344,667

Collatz Trajectory (114 steps to reach 1)

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

62,344,667 187,034,002 93,517,001 280,551,004 140,275,502 70,137,751 210,413,254 105,206,627 315,619,882 157,809,941 473,429,824 236,714,912 118,357,456 59,178,728 29,589,364 14,794,682 7,397,341 22,192,024 11,096,012 5,548,006 2,774,003 8,322,010 4,161,005 12,483,016 6,241,508 3,120,754 1,560,377 4,681,132 2,340,566 1,170,283 3,510,850 1,755,425 5,266,276 2,633,138 1,316,569 3,949,708 1,974,854 987,427 2,962,282 1,481,141 4,443,424 2,221,712 1,110,856 555,428 277,714 138,857 416,572 208,286 104,143 312,430 156,215 468,646 234,323 702,970 351,485 1,054,456 527,228 263,614 131,807 395,422

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