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Atlas › Integer Profiles › Node 9,767,056

9,767,056

24 × 13 × 46957
Abundant Even Composite

9,767,056 factors as 2^4 × 13 × 46957. Its 20 positive divisors give a proper-divisor sum of 10,612,716, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 46957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,379,772
Proper Divisor Sum 10,612,716
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9767053 ← → #9767071

Radix Representation

Decimal 9767056
Binary 100101010000100010010000 (24 bits)
Octal 0o45204220
Hexadecimal 0x950890

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 46,957 93,914 187,828 375,656 610,441 751,312 1,220,882 2,441,764 4,883,528 9,767,056

Collatz Trajectory (238 steps to reach 1)

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

9,767,056 4,883,528 2,441,764 1,220,882 610,441 1,831,324 915,662 457,831 1,373,494 686,747 2,060,242 1,030,121 3,090,364 1,545,182 772,591 2,317,774 1,158,887 3,476,662 1,738,331 5,214,994 2,607,497 7,822,492 3,911,246 1,955,623 5,866,870 2,933,435 8,800,306 4,400,153 13,200,460 6,600,230 3,300,115 9,900,346 4,950,173 14,850,520 7,425,260 3,712,630 1,856,315 5,568,946 2,784,473 8,353,420 4,176,710 2,088,355 6,265,066 3,132,533 9,397,600 4,698,800 2,349,400 1,174,700 587,350 293,675 881,026 440,513 1,321,540 660,770 330,385 991,156 495,578 247,789 743,368 371,684

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