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Atlas › Integer Profiles › Node 5,333,535

5,333,535

32 × 5 × 29 × 61 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,865,440
Proper Divisor Sum 4,531,905
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5333533 ← → #5333543

Radix Representation

Decimal 5333535
Binary 10100010110001000011111 (23 bits)
Octal 0o24261037
Hexadecimal 0x51621F

Divisor Catalog (48)

1 3 5 9 15 29 45 61 67 87 145 183 201 261 305 335 435 549 603 915 1,005 1,305 1,769 1,943 2,745 3,015 4,087 5,307 5,829 8,845 9,715 12,261 15,921 17,487 20,435 26,535 29,145 36,783 61,305 79,605 87,435 118,523 183,915 355,569 592,615 1,066,707 1,777,845 5,333,535

Collatz Trajectory (263 steps to reach 1)

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

5,333,535 16,000,606 8,000,303 24,000,910 12,000,455 36,001,366 18,000,683 54,002,050 27,001,025 81,003,076 40,501,538 20,250,769 60,752,308 30,376,154 15,188,077 45,564,232 22,782,116 11,391,058 5,695,529 17,086,588 8,543,294 4,271,647 12,814,942 6,407,471 19,222,414 9,611,207 28,833,622 14,416,811 43,250,434 21,625,217 64,875,652 32,437,826 16,218,913 48,656,740 24,328,370 12,164,185 36,492,556 18,246,278 9,123,139 27,369,418 13,684,709 41,054,128 20,527,064 10,263,532 5,131,766 2,565,883 7,697,650 3,848,825 11,546,476 5,773,238 2,886,619 8,659,858 4,329,929 12,989,788 6,494,894 3,247,447 9,742,342 4,871,171 14,613,514 7,306,757

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