λ
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Atlas › Integer Profiles › Node 95,750,464

95,750,464

26 × 631 × 2371
Deficient Even Composite

95,750,464 factors as 2^6 × 631 × 2371. Its 28 positive divisors give a proper-divisor sum of 94,635,744, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^6 × 631 × 2371
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 190,386,208
Proper Divisor Sum 94,635,744
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #95750461 ← → #95750467

Radix Representation

Decimal 95750464
Binary 101101101010000100101000000 (27 bits)
Octal 0o555204500
Hexadecimal 0x5B50940

Divisor Catalog (28)

1 2 4 8 16 32 64 631 1,262 2,371 2,524 4,742 5,048 9,484 10,096 18,968 20,192 37,936 40,384 75,872 151,744 1,496,101 2,992,202 5,984,404 11,968,808 23,937,616 47,875,232 95,750,464

Collatz Trajectory (81 steps to reach 1)

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

95,750,464 47,875,232 23,937,616 11,968,808 5,984,404 2,992,202 1,496,101 4,488,304 2,244,152 1,122,076 561,038 280,519 841,558 420,779 1,262,338 631,169 1,893,508 946,754 473,377 1,420,132 710,066 355,033 1,065,100 532,550 266,275 798,826 399,413 1,198,240 599,120 299,560 149,780 74,890 37,445 112,336 56,168 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469

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