λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,307,738

9,307,738

2 × 11 × 17 × 41 × 607
Deficient Even Composite

9,307,738 factors as 2 × 11 × 17 × 41 × 607. Its 32 positive divisors give a proper-divisor sum of 7,239,590, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 41 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,547,328
Proper Divisor Sum 7,239,590
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9307733 ← → #9307741

Radix Representation

Decimal 9307738
Binary 100011100000011001011010 (24 bits)
Octal 0o43403132
Hexadecimal 0x8E065A

Divisor Catalog (32)

1 2 11 17 22 34 41 82 187 374 451 607 697 902 1,214 1,394 6,677 7,667 10,319 13,354 15,334 20,638 24,887 49,774 113,509 227,018 273,757 423,079 547,514 846,158 4,653,869 9,307,738

Collatz Trajectory (163 steps to reach 1)

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

9,307,738 4,653,869 13,961,608 6,980,804 3,490,402 1,745,201 5,235,604 2,617,802 1,308,901 3,926,704 1,963,352 981,676 490,838 245,419 736,258 368,129 1,104,388 552,194 276,097 828,292 414,146 207,073 621,220 310,610 155,305 465,916 232,958 116,479 349,438 174,719 524,158 262,079 786,238 393,119 1,179,358 589,679 1,769,038 884,519 2,653,558 1,326,779 3,980,338 1,990,169 5,970,508 2,985,254 1,492,627 4,477,882 2,238,941 6,716,824 3,358,412 1,679,206 839,603 2,518,810 1,259,405 3,778,216 1,889,108 944,554 472,277 1,416,832 708,416 354,208

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,307,737 Browse Full Index Next Integer #9,307,739 →