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Atlas › Integer Profiles › Node 10,074,810

10,074,810

2 × 3 × 5 × 499 × 673
Abundant Even Composite

10,074,810 factors as 2 × 3 × 5 × 499 × 673. Its 32 positive divisors give a proper-divisor sum of 14,189,190, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 499 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,264,000
Proper Divisor Sum 14,189,190
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10074809 ← → #10074811

Radix Representation

Decimal 10074810
Binary 100110011011101010111010 (24 bits)
Octal 0o46335272
Hexadecimal 0x99BABA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 499 673 998 1,346 1,497 2,019 2,495 2,994 3,365 4,038 4,990 6,730 7,485 10,095 14,970 20,190 335,827 671,654 1,007,481 1,679,135 2,014,962 3,358,270 5,037,405 10,074,810

Collatz Trajectory (57 steps to reach 1)

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

10,074,810 5,037,405 15,112,216 7,556,108 3,778,054 1,889,027 5,667,082 2,833,541 8,500,624 4,250,312 2,125,156 1,062,578 531,289 1,593,868 796,934 398,467 1,195,402 597,701 1,793,104 896,552 448,276 224,138 112,069 336,208 168,104 84,052 42,026 21,013 63,040 31,520 15,760 7,880 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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