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Atlas › Integer Profiles › Node 10,480,900

10,480,900

22 × 52 × 163 × 643
Abundant Even Composite

10,480,900 factors as 2^2 × 5^2 × 163 × 643. Its 36 positive divisors give a proper-divisor sum of 12,437,772, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 163 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,918,672
Proper Divisor Sum 12,437,772
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10480889 ← → #10480901

Radix Representation

Decimal 10480900
Binary 100111111110110100000100 (24 bits)
Octal 0o47766404
Hexadecimal 0x9FED04

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 163 326 643 652 815 1,286 1,630 2,572 3,215 3,260 4,075 6,430 8,150 12,860 16,075 16,300 32,150 64,300 104,809 209,618 419,236 524,045 1,048,090 2,096,180 2,620,225 5,240,450 10,480,900

Collatz Trajectory (145 steps to reach 1)

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

10,480,900 5,240,450 2,620,225 7,860,676 3,930,338 1,965,169 5,895,508 2,947,754 1,473,877 4,421,632 2,210,816 1,105,408 552,704 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310

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