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Atlas › Integer Profiles › Node 51,148,175

51,148,175

52 × 13 × 337 × 467
Deficient Odd Composite

51,148,175 factors as 5^2 × 13 × 337 × 467. Its 24 positive divisors give a proper-divisor sum of 17,503,681, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 337 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 68,651,856
Proper Divisor Sum 17,503,681
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #51148157 ← → #51148177

Radix Representation

Decimal 51148175
Binary 11000011000111010110001111 (26 bits)
Octal 0o303072617
Hexadecimal 0x30C758F

Divisor Catalog (24)

1 5 13 25 65 325 337 467 1,685 2,335 4,381 6,071 8,425 11,675 21,905 30,355 109,525 151,775 157,379 786,895 2,045,927 3,934,475 10,229,635 51,148,175

Collatz Trajectory (168 steps to reach 1)

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

51,148,175 153,444,526 76,722,263 230,166,790 115,083,395 345,250,186 172,625,093 517,875,280 258,937,640 129,468,820 64,734,410 32,367,205 97,101,616 48,550,808 24,275,404 12,137,702 6,068,851 18,206,554 9,103,277 27,309,832 13,654,916 6,827,458 3,413,729 10,241,188 5,120,594 2,560,297 7,680,892 3,840,446 1,920,223 5,760,670 2,880,335 8,641,006 4,320,503 12,961,510 6,480,755 19,442,266 9,721,133 29,163,400 14,581,700 7,290,850 3,645,425 10,936,276 5,468,138 2,734,069 8,202,208 4,101,104 2,050,552 1,025,276 512,638 256,319 768,958 384,479 1,153,438 576,719 1,730,158 865,079 2,595,238 1,297,619 3,892,858 1,946,429

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