λ
Prime Ledger

9,117,477

32 × 1013053
Deficient Odd Composite

9,117,477 has the prime decomposition 3^2 × 1013053. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 1013053
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 13,169,702
Proper Divisor Sum 4,052,225
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9117463 ← → #9117497

Radix Representation

Decimal 9117477
Binary 100010110001111100100101 (24 bits)
Octal 0o42617445
Hexadecimal 0x8B1F25

Divisor Catalog (6)

1 3 9 1,013,053 3,039,159 9,117,477

Collatz Trajectory (269 steps to reach 1)

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

9,117,477 27,352,432 13,676,216 6,838,108 3,419,054 1,709,527 5,128,582 2,564,291 7,692,874 3,846,437 11,539,312 5,769,656 2,884,828 1,442,414 721,207 2,163,622 1,081,811 3,245,434 1,622,717 4,868,152 2,434,076 1,217,038 608,519 1,825,558 912,779 2,738,338 1,369,169 4,107,508 2,053,754 1,026,877 3,080,632 1,540,316 770,158 385,079 1,155,238 577,619 1,732,858 866,429 2,599,288 1,299,644 649,822 324,911 974,734 487,367 1,462,102 731,051 2,193,154 1,096,577 3,289,732 1,644,866 822,433 2,467,300 1,233,650 616,825 1,850,476 925,238 462,619 1,387,858 693,929 2,081,788

More profiles

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