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Atlas › Integer Profiles › Node 50,008,260

50,008,260

22 × 3 × 5 × 503 × 1657
Abundant Even Composite

50,008,260 factors as 2^2 × 3 × 5 × 503 × 1657. Its 48 positive divisors give a proper-divisor sum of 90,377,916, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 503 × 1657
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 140,386,176
Proper Divisor Sum 90,377,916
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50008249 ← → #50008289

Radix Representation

Decimal 50008260
Binary 10111110110001000011000100 (26 bits)
Octal 0o276610304
Hexadecimal 0x2FB10C4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 503 1,006 1,509 1,657 2,012 2,515 3,018 3,314 4,971 5,030 6,036 6,628 7,545 8,285 9,942 10,060 15,090 16,570 19,884 24,855 30,180 33,140 49,710 99,420 833,471 1,666,942 2,500,413 3,333,884 4,167,355 5,000,826 8,334,710 10,001,652 12,502,065 16,669,420 25,004,130 50,008,260

Collatz Trajectory (80 steps to reach 1)

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

50,008,260 25,004,130 12,502,065 37,506,196 18,753,098 9,376,549 28,129,648 14,064,824 7,032,412 3,516,206 1,758,103 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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