λ
Sequence Observatory

7,876,917

32 × 875213
Deficient Odd Composite

Starting at 7,876,917, the Collatz iteration reaches 1 after 124 steps. The first transition is 23630752; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 875213
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,377,782
Proper Divisor Sum 3,500,865
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7876907 ← → #7876927

Radix Representation

Decimal 7876917
Binary 11110000011000100110101 (23 bits)
Octal 0o36030465
Hexadecimal 0x783135

Divisor Catalog (6)

1 3 9 875,213 2,625,639 7,876,917

Collatz Trajectory (124 steps to reach 1)

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

7,876,917 23,630,752 11,815,376 5,907,688 2,953,844 1,476,922 738,461 2,215,384 1,107,692 553,846 276,923 830,770 415,385 1,246,156 623,078 311,539 934,618 467,309 1,401,928 700,964 350,482 175,241 525,724 262,862 131,431 394,294 197,147 591,442 295,721 887,164 443,582 221,791 665,374 332,687 998,062 499,031 1,497,094 748,547 2,245,642 1,122,821 3,368,464 1,684,232 842,116 421,058 210,529 631,588 315,794 157,897 473,692 236,846 118,423 355,270 177,635 532,906 266,453 799,360 399,680 199,840 99,920 49,960

More profiles

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