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Atlas › Integer Profiles › Node 10,805,438

10,805,438

2 × 7 × 17 × 83 × 547
Deficient Even Composite

10,805,438 factors as 2 × 7 × 17 × 83 × 547. Its 32 positive divisors give a proper-divisor sum of 9,080,386, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 83 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,885,824
Proper Divisor Sum 9,080,386
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #10805413 ← → #10805467

Radix Representation

Decimal 10805438
Binary 101001001110000010111110 (24 bits)
Octal 0o51160276
Hexadecimal 0xA4E0BE

Divisor Catalog (32)

1 2 7 14 17 34 83 119 166 238 547 581 1,094 1,162 1,411 2,822 3,829 7,658 9,299 9,877 18,598 19,754 45,401 65,093 90,802 130,186 317,807 635,614 771,817 1,543,634 5,402,719 10,805,438

Collatz Trajectory (96 steps to reach 1)

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

10,805,438 5,402,719 16,208,158 8,104,079 24,312,238 12,156,119 36,468,358 18,234,179 54,702,538 27,351,269 82,053,808 41,026,904 20,513,452 10,256,726 5,128,363 15,385,090 7,692,545 23,077,636 11,538,818 5,769,409 17,308,228 8,654,114 4,327,057 12,981,172 6,490,586 3,245,293 9,735,880 4,867,940 2,433,970 1,216,985 3,650,956 1,825,478 912,739 2,738,218 1,369,109 4,107,328 2,053,664 1,026,832 513,416 256,708 128,354 64,177 192,532 96,266 48,133 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904

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