λ
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Atlas › Integer Profiles › Node 9,246,776

9,246,776

23 × 7 × 11 × 17 × 883
Abundant Even Composite

9,246,776 factors as 2^3 × 7 × 11 × 17 × 883. Its 64 positive divisors give a proper-divisor sum of 13,666,504, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 17 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,913,280
Proper Divisor Sum 13,666,504
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9246767 ← → #9246779

Radix Representation

Decimal 9246776
Binary 100011010001100000111000 (24 bits)
Octal 0o43214070
Hexadecimal 0x8D1838

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 883 952 1,309 1,496 1,766 2,618 3,532 5,236 6,181 7,064 9,713 10,472 12,362 15,011 19,426 24,724 30,022 38,852 49,448 60,044 67,991 77,704 105,077 120,088 135,982 165,121 210,154 271,964 330,242 420,308 543,928 660,484 840,616 1,155,847

Collatz Trajectory (194 steps to reach 1)

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

9,246,776 4,623,388 2,311,694 1,155,847 3,467,542 1,733,771 5,201,314 2,600,657 7,801,972 3,900,986 1,950,493 5,851,480 2,925,740 1,462,870 731,435 2,194,306 1,097,153 3,291,460 1,645,730 822,865 2,468,596 1,234,298 617,149 1,851,448 925,724 462,862 231,431 694,294 347,147 1,041,442 520,721 1,562,164 781,082 390,541 1,171,624 585,812 292,906 146,453 439,360 219,680 109,840 54,920 27,460 13,730 6,865 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630

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