λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,502,430

9,502,430

2 × 5 × 7 × 29 × 31 × 151
Abundant Even Composite

9,502,430 factors as 2 × 5 × 7 × 29 × 31 × 151. Its 64 positive divisors give a proper-divisor sum of 11,510,050, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 29 × 31 × 151
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,012,480
Proper Divisor Sum 11,510,050
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9502429 ← → #9502433

Radix Representation

Decimal 9502430
Binary 100100001111111011011110 (24 bits)
Octal 0o44177336
Hexadecimal 0x90FEDE

Divisor Catalog (60 of 64)

1 2 5 7 10 14 29 31 35 58 62 70 145 151 155 203 217 290 302 310 406 434 755 899 1,015 1,057 1,085 1,510 1,798 2,030 2,114 2,170 4,379 4,495 4,681 5,285 6,293 8,758 8,990 9,362 10,570 12,586 21,895 23,405 30,653 31,465 32,767 43,790 46,810 61,306 62,930 65,534 135,749 153,265 163,835 271,498 306,530 327,670 678,745 950,243

Collatz Trajectory (150 steps to reach 1)

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

9,502,430 4,751,215 14,253,646 7,126,823 21,380,470 10,690,235 32,070,706 16,035,353 48,106,060 24,053,030 12,026,515 36,079,546 18,039,773 54,119,320 27,059,660 13,529,830 6,764,915 20,294,746 10,147,373 30,442,120 15,221,060 7,610,530 3,805,265 11,415,796 5,707,898 2,853,949 8,561,848 4,280,924 2,140,462 1,070,231 3,210,694 1,605,347 4,816,042 2,408,021 7,224,064 3,612,032 1,806,016 903,008 451,504 225,752 112,876 56,438 28,219 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,502,429 Browse Full Index Next Integer #9,502,431 →