λ
Prime Ledger

9,245,637

33 × 17 × 20143
Deficient Odd Composite

9,245,637 has the prime decomposition 3^3 × 17 × 20143. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 20143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,503,680
Proper Divisor Sum 5,258,043
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9245633 ← → #9245653

Radix Representation

Decimal 9245637
Binary 100011010001001111000101 (24 bits)
Octal 0o43211705
Hexadecimal 0x8D13C5

Divisor Catalog (16)

1 3 9 17 27 51 153 459 20,143 60,429 181,287 342,431 543,861 1,027,293 3,081,879 9,245,637

Collatz Trajectory (194 steps to reach 1)

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

9,245,637 27,736,912 13,868,456 6,934,228 3,467,114 1,733,557 5,200,672 2,600,336 1,300,168 650,084 325,042 162,521 487,564 243,782 121,891 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633

More profiles

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