λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,307,784

8,307,784

23 × 23 × 163 × 277
Deficient Even Composite

8,307,784 factors as 2^3 × 23 × 163 × 277. Its 32 positive divisors give a proper-divisor sum of 8,105,336, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 163 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,413,120
Proper Divisor Sum 8,105,336
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8307751 ← → #8307787

Radix Representation

Decimal 8307784
Binary 11111101100010001001000 (23 bits)
Octal 0o37542110
Hexadecimal 0x7EC448

Divisor Catalog (32)

1 2 4 8 23 46 92 163 184 277 326 554 652 1,108 1,304 2,216 3,749 6,371 7,498 12,742 14,996 25,484 29,992 45,151 50,968 90,302 180,604 361,208 1,038,473 2,076,946 4,153,892 8,307,784

Collatz Trajectory (199 steps to reach 1)

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

8,307,784 4,153,892 2,076,946 1,038,473 3,115,420 1,557,710 778,855 2,336,566 1,168,283 3,504,850 1,752,425 5,257,276 2,628,638 1,314,319 3,942,958 1,971,479 5,914,438 2,957,219 8,871,658 4,435,829 13,307,488 6,653,744 3,326,872 1,663,436 831,718 415,859 1,247,578 623,789 1,871,368 935,684 467,842 233,921 701,764 350,882 175,441 526,324 263,162 131,581 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,307,783 Browse Full Index Next Integer #8,307,785 →