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Atlas › Integer Profiles › Node 9,508,434

9,508,434

2 × 3 × 13 × 139 × 877
Abundant Even Composite

9,508,434 factors as 2 × 3 × 13 × 139 × 877. Its 32 positive divisors give a proper-divisor sum of 11,142,126, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 139 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,650,560
Proper Divisor Sum 11,142,126
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9508409 ← → #9508451

Radix Representation

Decimal 9508434
Binary 100100010001011001010010 (24 bits)
Octal 0o44213122
Hexadecimal 0x911652

Divisor Catalog (32)

1 2 3 6 13 26 39 78 139 278 417 834 877 1,754 1,807 2,631 3,614 5,262 5,421 10,842 11,401 22,802 34,203 68,406 121,903 243,806 365,709 731,418 1,584,739 3,169,478 4,754,217 9,508,434

Collatz Trajectory (194 steps to reach 1)

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

9,508,434 4,754,217 14,262,652 7,131,326 3,565,663 10,696,990 5,348,495 16,045,486 8,022,743 24,068,230 12,034,115 36,102,346 18,051,173 54,153,520 27,076,760 13,538,380 6,769,190 3,384,595 10,153,786 5,076,893 15,230,680 7,615,340 3,807,670 1,903,835 5,711,506 2,855,753 8,567,260 4,283,630 2,141,815 6,425,446 3,212,723 9,638,170 4,819,085 14,457,256 7,228,628 3,614,314 1,807,157 5,421,472 2,710,736 1,355,368 677,684 338,842 169,421 508,264 254,132 127,066 63,533 190,600 95,300 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052

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