λ
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Atlas › Integer Profiles › Node 8,310,550

8,310,550

2 × 52 × 71 × 2341
Deficient Even Composite

8,310,550 factors as 2 × 5^2 × 71 × 2341. Its 24 positive divisors give a proper-divisor sum of 7,371,482, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 71 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,682,032
Proper Divisor Sum 7,371,482
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8310529 ← → #8310551

Radix Representation

Decimal 8310550
Binary 11111101100111100010110 (23 bits)
Octal 0o37547426
Hexadecimal 0x7ECF16

Divisor Catalog (24)

1 2 5 10 25 50 71 142 355 710 1,775 2,341 3,550 4,682 11,705 23,410 58,525 117,050 166,211 332,422 831,055 1,662,110 4,155,275 8,310,550

Collatz Trajectory (230 steps to reach 1)

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

8,310,550 4,155,275 12,465,826 6,232,913 18,698,740 9,349,370 4,674,685 14,024,056 7,012,028 3,506,014 1,753,007 5,259,022 2,629,511 7,888,534 3,944,267 11,832,802 5,916,401 17,749,204 8,874,602 4,437,301 13,311,904 6,655,952 3,327,976 1,663,988 831,994 415,997 1,247,992 623,996 311,998 155,999 467,998 233,999 701,998 350,999 1,052,998 526,499 1,579,498 789,749 2,369,248 1,184,624 592,312 296,156 148,078 74,039 222,118 111,059 333,178 166,589 499,768 249,884 124,942 62,471 187,414 93,707 281,122 140,561 421,684 210,842 105,421 316,264

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