λ
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9,509,700

22 × 3 × 52 × 31699
Abundant Even Composite

9,509,700 factors as 2^2 × 3 × 5^2 × 31699. Its 36 positive divisors give a proper-divisor sum of 18,005,900, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 31699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,515,600
Proper Divisor Sum 18,005,900
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9509693 ← → #9509701

Radix Representation

Decimal 9509700
Binary 100100010001101101000100 (24 bits)
Octal 0o44215504
Hexadecimal 0x911B44

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 31,699 63,398 95,097 126,796 158,495 190,194 316,990 380,388 475,485 633,980 792,475 950,970 1,584,950 1,901,940 2,377,425 3,169,900 4,754,850 9,509,700

Collatz Trajectory (176 steps to reach 1)

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

9,509,700 4,754,850 2,377,425 7,132,276 3,566,138 1,783,069 5,349,208 2,674,604 1,337,302 668,651 2,005,954 1,002,977 3,008,932 1,504,466 752,233 2,256,700 1,128,350 564,175 1,692,526 846,263 2,538,790 1,269,395 3,808,186 1,904,093 5,712,280 2,856,140 1,428,070 714,035 2,142,106 1,071,053 3,213,160 1,606,580 803,290 401,645 1,204,936 602,468 301,234 150,617 451,852 225,926 112,963 338,890 169,445 508,336 254,168 127,084 63,542 31,771 95,314 47,657 142,972 71,486 35,743 107,230 53,615 160,846 80,423 241,270 120,635 361,906

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