λ
Modular Archive

8,978,008

23 × 13 × 173 × 499
Abundant Even Composite

The decimal integer 8,978,008 is 100010001111111001011000 in binary (24 bits), 42177130 in octal and 88FE58 in hexadecimal. Its digit sum is 40.

Prime Factor Structure

Factorization String 2^3 × 13 × 173 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,270,000
Proper Divisor Sum 9,291,992
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8977961 ← → #8978059

Radix Representation

Decimal 8978008
Binary 100010001111111001011000 (24 bits)
Octal 0o42177130
Hexadecimal 0x88FE58

Divisor Catalog (32)

1 2 4 8 13 26 52 104 173 346 499 692 998 1,384 1,996 2,249 3,992 4,498 6,487 8,996 12,974 17,992 25,948 51,896 86,327 172,654 345,308 690,616 1,122,251 2,244,502 4,489,004 8,978,008

Collatz Trajectory (88 steps to reach 1)

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

8,978,008 4,489,004 2,244,502 1,122,251 3,366,754 1,683,377 5,050,132 2,525,066 1,262,533 3,787,600 1,893,800 946,900 473,450 236,725 710,176 355,088 177,544 88,772 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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