λ
Sigma Notebook

8,278,624

25 × 258707
Deficient Even Composite

8,278,624 is even and not a perfect square. Its factorization is 2^5 × 258707 and its 12 divisors sum to 16,298,604.

Prime Factor Structure

Factorization String 2^5 × 258707
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,298,604
Proper Divisor Sum 8,019,980
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8278619 ← → #8278631

Radix Representation

Decimal 8278624
Binary 11111100101001001100000 (23 bits)
Octal 0o37451140
Hexadecimal 0x7E5260

Divisor Catalog (12)

1 2 4 8 16 32 258,707 517,414 1,034,828 2,069,656 4,139,312 8,278,624

Collatz Trajectory (80 steps to reach 1)

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

8,278,624 4,139,312 2,069,656 1,034,828 517,414 258,707 776,122 388,061 1,164,184 582,092 291,046 145,523 436,570 218,285 654,856 327,428 163,714 81,857 245,572 122,786 61,393 184,180 92,090 46,045 138,136 69,068 34,534 17,267 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

More profiles

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