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Atlas › Integer Profiles › Node 3,333,735

3,333,735

32 × 5 × 23 × 3221
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,031,584
Proper Divisor Sum 2,697,849
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3333727 ← → #3333739

Radix Representation

Decimal 3333735
Binary 1100101101111001100111 (22 bits)
Octal 0o14557147
Hexadecimal 0x32DE67

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 3,221 9,663 16,105 28,989 48,315 74,083 144,945 222,249 370,415 666,747 1,111,245 3,333,735

Collatz Trajectory (345 steps to reach 1)

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

3,333,735 10,001,206 5,000,603 15,001,810 7,500,905 22,502,716 11,251,358 5,625,679 16,877,038 8,438,519 25,315,558 12,657,779 37,973,338 18,986,669 56,960,008 28,480,004 14,240,002 7,120,001 21,360,004 10,680,002 5,340,001 16,020,004 8,010,002 4,005,001 12,015,004 6,007,502 3,003,751 9,011,254 4,505,627 13,516,882 6,758,441 20,275,324 10,137,662 5,068,831 15,206,494 7,603,247 22,809,742 11,404,871 34,214,614 17,107,307 51,321,922 25,660,961 76,982,884 38,491,442 19,245,721 57,737,164 28,868,582 14,434,291 43,302,874 21,651,437 64,954,312 32,477,156 16,238,578 8,119,289 24,357,868 12,178,934 6,089,467 18,268,402 9,134,201 27,402,604

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