λ
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Atlas › Integer Profiles › Node 8,308,976

8,308,976

24 × 13 × 43 × 929
Abundant Even Composite

8,308,976 factors as 2^4 × 13 × 43 × 929. Its 40 positive divisors give a proper-divisor sum of 9,450,304, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 43 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,759,280
Proper Divisor Sum 9,450,304
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8308973 ← → #8308981

Radix Representation

Decimal 8308976
Binary 11111101100100011110000 (23 bits)
Octal 0o37544360
Hexadecimal 0x7EC8F0

Divisor Catalog (40)

1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 929 1,118 1,858 2,236 3,716 4,472 7,432 8,944 12,077 14,864 24,154 39,947 48,308 79,894 96,616 159,788 193,232 319,576 519,311 639,152 1,038,622 2,077,244 4,154,488 8,308,976

Collatz Trajectory (168 steps to reach 1)

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

8,308,976 4,154,488 2,077,244 1,038,622 519,311 1,557,934 778,967 2,336,902 1,168,451 3,505,354 1,752,677 5,258,032 2,629,016 1,314,508 657,254 328,627 985,882 492,941 1,478,824 739,412 369,706 184,853 554,560 277,280 138,640 69,320 34,660 17,330 8,665 25,996 12,998 6,499 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41

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