λ
Prime Ledger

8,700,677

31 × 467 × 601
Deficient Odd Composite

8,700,677 has the prime decomposition 31 × 467 × 601. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 467 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,015,552
Proper Divisor Sum 314,875
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8700649 ← → #8700697

Radix Representation

Decimal 8700677
Binary 100001001100001100000101 (24 bits)
Octal 0o41141405
Hexadecimal 0x84C305

Divisor Catalog (8)

1 31 467 601 14,477 18,631 280,667 8,700,677

Collatz Trajectory (212 steps to reach 1)

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

8,700,677 26,102,032 13,051,016 6,525,508 3,262,754 1,631,377 4,894,132 2,447,066 1,223,533 3,670,600 1,835,300 917,650 458,825 1,376,476 688,238 344,119 1,032,358 516,179 1,548,538 774,269 2,322,808 1,161,404 580,702 290,351 871,054 435,527 1,306,582 653,291 1,959,874 979,937 2,939,812 1,469,906 734,953 2,204,860 1,102,430 551,215 1,653,646 826,823 2,480,470 1,240,235 3,720,706 1,860,353 5,581,060 2,790,530 1,395,265 4,185,796 2,092,898 1,046,449 3,139,348 1,569,674 784,837 2,354,512 1,177,256 588,628 294,314 147,157 441,472 220,736 110,368 55,184

More profiles

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