λ
Sigma Notebook

7,808,287

17 × 421 × 1091
Deficient Odd Composite

7,808,287 is odd and not a perfect square. Its factorization is 17 × 421 × 1091 and its 8 divisors sum to 8,294,832.

Prime Factor Structure

Factorization String 17 × 421 × 1091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,294,832
Proper Divisor Sum 486,545
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7808267 ← → #7808309

Radix Representation

Decimal 7808287
Binary 11101110010010100011111 (23 bits)
Octal 0o35622437
Hexadecimal 0x77251F

Divisor Catalog (8)

1 17 421 1,091 7,157 18,547 459,311 7,808,287

Collatz Trajectory (186 steps to reach 1)

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

7,808,287 23,424,862 11,712,431 35,137,294 17,568,647 52,705,942 26,352,971 79,058,914 39,529,457 118,588,372 59,294,186 29,647,093 88,941,280 44,470,640 22,235,320 11,117,660 5,558,830 2,779,415 8,338,246 4,169,123 12,507,370 6,253,685 18,761,056 9,380,528 4,690,264 2,345,132 1,172,566 586,283 1,758,850 879,425 2,638,276 1,319,138 659,569 1,978,708 989,354 494,677 1,484,032 742,016 371,008 185,504 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261

More profiles

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