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Atlas › Integer Profiles › Node 40,960,016

40,960,016

24 × 769 × 3329
Deficient Even Composite

40,960,016 factors as 2^4 × 769 × 3329. Its 20 positive divisors give a proper-divisor sum of 38,527,084, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 769 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 79,487,100
Proper Divisor Sum 38,527,084
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40960013 ← → #40960027

Radix Representation

Decimal 40960016
Binary 10011100010000000000010000 (26 bits)
Octal 0o234200020
Hexadecimal 0x2710010

Divisor Catalog (20)

1 2 4 8 16 769 1,538 3,076 3,329 6,152 6,658 12,304 13,316 26,632 53,264 2,560,001 5,120,002 10,240,004 20,480,008 40,960,016

Collatz Trajectory (77 steps to reach 1)

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

40,960,016 20,480,008 10,240,004 5,120,002 2,560,001 7,680,004 3,840,002 1,920,001 5,760,004 2,880,002 1,440,001 4,320,004 2,160,002 1,080,001 3,240,004 1,620,002 810,001 2,430,004 1,215,002 607,501 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204

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