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Atlas › Integer Profiles › Node 50,831,725

50,831,725

52 × 7 × 23 × 73 × 173
Deficient Odd Composite

50,831,725 factors as 5^2 × 7 × 23 × 73 × 173. Its 48 positive divisors give a proper-divisor sum of 25,806,227, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 23 × 73 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,637,952
Proper Divisor Sum 25,806,227
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #50831701 ← → #50831731

Radix Representation

Decimal 50831725
Binary 11000001111010000101101101 (26 bits)
Octal 0o301720555
Hexadecimal 0x307A16D

Divisor Catalog (48)

1 5 7 23 25 35 73 115 161 173 175 365 511 575 805 865 1,211 1,679 1,825 2,555 3,979 4,025 4,325 6,055 8,395 11,753 12,629 12,775 19,895 27,853 30,275 41,975 58,765 63,145 88,403 99,475 139,265 290,467 293,825 315,725 442,015 696,325 1,452,335 2,033,269 2,210,075 7,261,675 10,166,345 50,831,725

Collatz Trajectory (181 steps to reach 1)

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

50,831,725 152,495,176 76,247,588 38,123,794 19,061,897 57,185,692 28,592,846 14,296,423 42,889,270 21,444,635 64,333,906 32,166,953 96,500,860 48,250,430 24,125,215 72,375,646 36,187,823 108,563,470 54,281,735 162,845,206 81,422,603 244,267,810 122,133,905 366,401,716 183,200,858 91,600,429 274,801,288 137,400,644 68,700,322 34,350,161 103,050,484 51,525,242 25,762,621 77,287,864 38,643,932 19,321,966 9,660,983 28,982,950 14,491,475 43,474,426 21,737,213 65,211,640 32,605,820 16,302,910 8,151,455 24,454,366 12,227,183 36,681,550 18,340,775 55,022,326 27,511,163 82,533,490 41,266,745 123,800,236 61,900,118 30,950,059 92,850,178 46,425,089 139,275,268 69,637,634

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