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Atlas › Integer Profiles › Node 4,337,907

4,337,907

3 × 7 × 17 × 29 × 419
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 29 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 2,919,693
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4337899 ← → #4337911

Radix Representation

Decimal 4337907
Binary 10000100011000011110011 (23 bits)
Octal 0o20430363
Hexadecimal 0x4230F3

Divisor Catalog (32)

1 3 7 17 21 29 51 87 119 203 357 419 493 609 1,257 1,479 2,933 3,451 7,123 8,799 10,353 12,151 21,369 36,453 49,861 85,057 149,583 206,567 255,171 619,701 1,445,969 4,337,907

Collatz Trajectory (180 steps to reach 1)

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

4,337,907 13,013,722 6,506,861 19,520,584 9,760,292 4,880,146 2,440,073 7,320,220 3,660,110 1,830,055 5,490,166 2,745,083 8,235,250 4,117,625 12,352,876 6,176,438 3,088,219 9,264,658 4,632,329 13,896,988 6,948,494 3,474,247 10,422,742 5,211,371 15,634,114 7,817,057 23,451,172 11,725,586 5,862,793 17,588,380 8,794,190 4,397,095 13,191,286 6,595,643 19,786,930 9,893,465 29,680,396 14,840,198 7,420,099 22,260,298 11,130,149 33,390,448 16,695,224 8,347,612 4,173,806 2,086,903 6,260,710 3,130,355 9,391,066 4,695,533 14,086,600 7,043,300 3,521,650 1,760,825 5,282,476 2,641,238 1,320,619 3,961,858 1,980,929 5,942,788

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