λ
Prime Ledger

9,560,826

2 × 32 × 11 × 109 × 443
Abundant Even Composite

9,560,826 has the prime decomposition 2 × 3^2 × 11 × 109 × 443. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 109 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,857,120
Proper Divisor Sum 13,296,294
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9560813 ← → #9560843

Radix Representation

Decimal 9560826
Binary 100100011110001011111010 (24 bits)
Octal 0o44361372
Hexadecimal 0x91E2FA

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 443 654 886 981 1,199 1,329 1,962 2,398 2,658 3,597 3,987 4,873 7,194 7,974 9,746 10,791 14,619 21,582 29,238 43,857 48,287 87,714 96,574 144,861 289,722 434,583 531,157 869,166 1,062,314 1,593,471 3,186,942 4,780,413 9,560,826

Collatz Trajectory (194 steps to reach 1)

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

9,560,826 4,780,413 14,341,240 7,170,620 3,585,310 1,792,655 5,377,966 2,688,983 8,066,950 4,033,475 12,100,426 6,050,213 18,150,640 9,075,320 4,537,660 2,268,830 1,134,415 3,403,246 1,701,623 5,104,870 2,552,435 7,657,306 3,828,653 11,485,960 5,742,980 2,871,490 1,435,745 4,307,236 2,153,618 1,076,809 3,230,428 1,615,214 807,607 2,422,822 1,211,411 3,634,234 1,817,117 5,451,352 2,725,676 1,362,838 681,419 2,044,258 1,022,129 3,066,388 1,533,194 766,597 2,299,792 1,149,896 574,948 287,474 143,737 431,212 215,606 107,803 323,410 161,705 485,116 242,558 121,279 363,838

More profiles

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