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Atlas › Integer Profiles › Node 9,706,914

9,706,914

2 × 32 × 7 × 41 × 1879
Abundant Even Composite

9,706,914 factors as 2 × 3^2 × 7 × 41 × 1879. Its 48 positive divisors give a proper-divisor sum of 14,928,606, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 41 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,635,520
Proper Divisor Sum 14,928,606
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9706901 ← → #9706927

Radix Representation

Decimal 9706914
Binary 100101000001110110100010 (24 bits)
Octal 0o45016642
Hexadecimal 0x941DA2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1,722 1,879 2,583 3,758 5,166 5,637 11,274 13,153 16,911 26,306 33,822 39,459 77,039 78,918 118,377 154,078 231,117 236,754 462,234 539,273 693,351 1,078,546 1,386,702 1,617,819 3,235,638 4,853,457 9,706,914

Collatz Trajectory (101 steps to reach 1)

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

9,706,914 4,853,457 14,560,372 7,280,186 3,640,093 10,920,280 5,460,140 2,730,070 1,365,035 4,095,106 2,047,553 6,142,660 3,071,330 1,535,665 4,606,996 2,303,498 1,151,749 3,455,248 1,727,624 863,812 431,906 215,953 647,860 323,930 161,965 485,896 242,948 121,474 60,737 182,212 91,106 45,553 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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