λ
Ratio Atlas

51,448,463

11 × 37 × 83 × 1523
Deficient Odd Composite

51,448,463 factors as 11 × 37 × 83 × 1523. Its 16 positive divisors give a proper-divisor sum of 6,926,833, so this integer is deficient. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 11 × 37 × 83 × 1523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 58,375,296
Proper Divisor Sum 6,926,833
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #51448457 ← → #51448469

Radix Representation

Decimal 51448463
Binary 11000100010000101010001111 (26 bits)
Octal 0o304205217
Hexadecimal 0x3110A8F

Divisor Catalog (16)

Collatz Trajectory (349 steps to reach 1)

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

51,448,463 154,345,390 77,172,695 231,518,086 115,759,043 347,277,130 173,638,565 520,915,696 260,457,848 130,228,924 65,114,462 32,557,231 97,671,694 48,835,847 146,507,542 73,253,771 219,761,314 109,880,657 329,641,972 164,820,986 82,410,493 247,231,480 123,615,740 61,807,870 30,903,935 92,711,806 46,355,903 139,067,710 69,533,855 208,601,566 104,300,783 312,902,350 156,451,175 469,353,526 234,676,763 704,030,290 352,015,145 1,056,045,436 528,022,718 264,011,359 792,034,078 396,017,039 1,188,051,118 594,025,559 1,782,076,678 891,038,339 2,673,115,018 1,336,557,509 4,009,672,528 2,004,836,264 1,002,418,132 501,209,066 250,604,533 751,813,600 375,906,800 187,953,400 93,976,700 46,988,350 23,494,175 70,482,526

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