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Atlas › Integer Profiles › Node 4,774,491

4,774,491

33 × 19 × 41 × 227
Deficient Odd Composite

4,774,491 factors as 3^3 × 19 × 41 × 227. Its 32 positive divisors give a proper-divisor sum of 2,886,309, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 41 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,660,800
Proper Divisor Sum 2,886,309
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4774489 ← → #4774499

Radix Representation

Decimal 4774491
Binary 10010001101101001011011 (23 bits)
Octal 0o22155133
Hexadecimal 0x48DA5B

Divisor Catalog (32)

1 3 9 19 27 41 57 123 171 227 369 513 681 779 1,107 2,043 2,337 4,313 6,129 7,011 9,307 12,939 21,033 27,921 38,817 83,763 116,451 176,833 251,289 530,499 1,591,497 4,774,491

Collatz Trajectory (162 steps to reach 1)

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

4,774,491 14,323,474 7,161,737 21,485,212 10,742,606 5,371,303 16,113,910 8,056,955 24,170,866 12,085,433 36,256,300 18,128,150 9,064,075 27,192,226 13,596,113 40,788,340 20,394,170 10,197,085 30,591,256 15,295,628 7,647,814 3,823,907 11,471,722 5,735,861 17,207,584 8,603,792 4,301,896 2,150,948 1,075,474 537,737 1,613,212 806,606 403,303 1,209,910 604,955 1,814,866 907,433 2,722,300 1,361,150 680,575 2,041,726 1,020,863 3,062,590 1,531,295 4,593,886 2,296,943 6,890,830 3,445,415 10,336,246 5,168,123 15,504,370 7,752,185 23,256,556 11,628,278 5,814,139 17,442,418 8,721,209 26,163,628 13,081,814 6,540,907

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