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Atlas › Integer Profiles › Node 10,453,056

10,453,056

26 × 3 × 54443
Abundant Even Composite

10,453,056 factors as 2^6 × 3 × 54443. Its 28 positive divisors give a proper-divisor sum of 17,204,496, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 54443
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 27,657,552
Proper Divisor Sum 17,204,496
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10453049 ← → #10453057

Radix Representation

Decimal 10453056
Binary 100111111000000001000000 (24 bits)
Octal 0o47700100
Hexadecimal 0x9F8040

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 54,443 108,886 163,329 217,772 326,658 435,544 653,316 871,088 1,306,632 1,742,176 2,613,264 3,484,352 5,226,528 10,453,056

Collatz Trajectory (127 steps to reach 1)

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

10,453,056 5,226,528 2,613,264 1,306,632 653,316 326,658 163,329 489,988 244,994 122,497 367,492 183,746 91,873 275,620 137,810 68,905 206,716 103,358 51,679 155,038 77,519 232,558 116,279 348,838 174,419 523,258 261,629 784,888 392,444 196,222 98,111 294,334 147,167 441,502 220,751 662,254 331,127 993,382 496,691 1,490,074 745,037 2,235,112 1,117,556 558,778 279,389 838,168 419,084 209,542 104,771 314,314 157,157 471,472 235,736 117,868 58,934 29,467 88,402 44,201 132,604 66,302

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