λ
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Atlas › Integer Profiles › Node 50,008,264

50,008,264

23 × 67 × 79 × 1181
Deficient Even Composite

50,008,264 factors as 2^3 × 67 × 79 × 1181. Its 32 positive divisors give a proper-divisor sum of 46,442,936, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 67 × 79 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,451,200
Proper Divisor Sum 46,442,936
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #50008249 ← → #50008289

Radix Representation

Decimal 50008264
Binary 10111110110001000011001000 (26 bits)
Octal 0o276610310
Hexadecimal 0x2FB10C8

Divisor Catalog (32)

1 2 4 8 67 79 134 158 268 316 536 632 1,181 2,362 4,724 5,293 9,448 10,586 21,172 42,344 79,127 93,299 158,254 186,598 316,508 373,196 633,016 746,392 6,251,033 12,502,066 25,004,132 50,008,264

Collatz Trajectory (80 steps to reach 1)

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

50,008,264 25,004,132 12,502,066 6,251,033 18,753,100 9,376,550 4,688,275 14,064,826 7,032,413 21,097,240 10,548,620 5,274,310 2,637,155 7,911,466 3,955,733 11,867,200 5,933,600 2,966,800 1,483,400 741,700 370,850 185,425 556,276 278,138 139,069 417,208 208,604 104,302 52,151 156,454 78,227 234,682 117,341 352,024 176,012 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

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