λ
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Atlas › Integer Profiles › Node 9,507,771

9,507,771

32 × 7 × 132 × 19 × 47
Deficient Odd Composite

9,507,771 factors as 3^2 × 7 × 13^2 × 19 × 47. Its 72 positive divisors give a proper-divisor sum of 8,762,949, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13^2 × 19 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,270,720
Proper Divisor Sum 8,762,949
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9507767 ← → #9507787

Radix Representation

Decimal 9507771
Binary 100100010001001110111011 (24 bits)
Octal 0o44211673
Hexadecimal 0x9113BB

Divisor Catalog (60 of 72)

1 3 7 9 13 19 21 39 47 57 63 91 117 133 141 169 171 247 273 329 399 423 507 611 741 819 893 987 1,183 1,197 1,521 1,729 1,833 2,223 2,679 2,961 3,211 3,549 4,277 5,187 5,499 6,251 7,943 8,037 9,633 10,647 11,609 12,831 15,561 18,753 22,477 23,829 28,899 34,827 38,493 55,601 56,259 67,431 71,487 81,263

Collatz Trajectory (150 steps to reach 1)

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

9,507,771 28,523,314 14,261,657 42,784,972 21,392,486 10,696,243 32,088,730 16,044,365 48,133,096 24,066,548 12,033,274 6,016,637 18,049,912 9,024,956 4,512,478 2,256,239 6,768,718 3,384,359 10,153,078 5,076,539 15,229,618 7,614,809 22,844,428 11,422,214 5,711,107 17,133,322 8,566,661 25,699,984 12,849,992 6,424,996 3,212,498 1,606,249 4,818,748 2,409,374 1,204,687 3,614,062 1,807,031 5,421,094 2,710,547 8,131,642 4,065,821 12,197,464 6,098,732 3,049,366 1,524,683 4,574,050 2,287,025 6,861,076 3,430,538 1,715,269 5,145,808 2,572,904 1,286,452 643,226 321,613 964,840 482,420 241,210 120,605 361,816

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