2,767,583

7 × 13 × 17 × 1789

2,767,583 factors as 7 × 13 × 17 × 1789. Its 16 positive divisors give a proper-divisor sum of 841,057, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 7 × 13 × 17 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,608,640

Proper Divisor Sum 841,057

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2767579 ← → #2767603

Radix Representation

Decimal	2767583
Binary	1010100011101011011111 (22 bits)
Octal	0o12435337
Hexadecimal	0x2A3ADF

Divisor Catalog (16)

1 7 13 17 91 119 221 1,547 1,789 12,523 23,257 30,413 162,799 212,891 395,369 2,767,583

Collatz Trajectory (81 steps to reach 1)

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

2,767,583 8,302,750 4,151,375 12,454,126 6,227,063 18,681,190 9,340,595 28,021,786 14,010,893 42,032,680 21,016,340 10,508,170 5,254,085 15,762,256 7,881,128 3,940,564 1,970,282 985,141 2,955,424 1,477,712 738,856 369,428 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488

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