λ
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Atlas › Integer Profiles › Node 10,233,856

10,233,856

211 × 19 × 263
Abundant Even Composite

10,233,856 factors as 2^11 × 19 × 263. Its 48 positive divisors give a proper-divisor sum of 11,387,744, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^11 × 19 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,621,600
Proper Divisor Sum 11,387,744
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10233833 ← → #10233863

Radix Representation

Decimal 10233856
Binary 100111000010100000000000 (24 bits)
Octal 0o47024000
Hexadecimal 0x9C2800

Divisor Catalog (48)

1 2 4 8 16 19 32 38 64 76 128 152 256 263 304 512 526 608 1,024 1,052 1,216 2,048 2,104 2,432 4,208 4,864 4,997 8,416 9,728 9,994 16,832 19,456 19,988 33,664 38,912 39,976 67,328 79,952 134,656 159,904 269,312 319,808 538,624 639,616 1,279,232 2,558,464 5,116,928 10,233,856

Collatz Trajectory (189 steps to reach 1)

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

10,233,856 5,116,928 2,558,464 1,279,232 639,616 319,808 159,904 79,952 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050

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