λ
Sigma Notebook

8,378,627

317 × 26431
Deficient Odd Composite

8,378,627 is odd and not a perfect square. Its factorization is 317 × 26431 and its 4 divisors sum to 8,405,376.

Prime Factor Structure

Factorization String 317 × 26431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,405,376
Proper Divisor Sum 26,749
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8378621 ← → #8378633

Radix Representation

Decimal 8378627
Binary 11111111101100100000011 (23 bits)
Octal 0o37754403
Hexadecimal 0x7FD903

Divisor Catalog (4)

1 317 26,431 8,378,627

Collatz Trajectory (168 steps to reach 1)

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

8,378,627 25,135,882 12,567,941 37,703,824 18,851,912 9,425,956 4,712,978 2,356,489 7,069,468 3,534,734 1,767,367 5,302,102 2,651,051 7,953,154 3,976,577 11,929,732 5,964,866 2,982,433 8,947,300 4,473,650 2,236,825 6,710,476 3,355,238 1,677,619 5,032,858 2,516,429 7,549,288 3,774,644 1,887,322 943,661 2,830,984 1,415,492 707,746 353,873 1,061,620 530,810 265,405 796,216 398,108 199,054 99,527 298,582 149,291 447,874 223,937 671,812 335,906 167,953 503,860 251,930 125,965 377,896 188,948 94,474 47,237 141,712 70,856 35,428 17,714 8,857

More profiles

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