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Atlas › Integer Profiles › Node 20,002,535

20,002,535

5 × 72 × 19 × 4297
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 4297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 29,398,320
Proper Divisor Sum 9,395,785
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #20002531 ← → #20002537

Radix Representation

Decimal 20002535
Binary 1001100010011011011100111 (25 bits)
Octal 0o114233347
Hexadecimal 0x13136E7

Divisor Catalog (24)

1 5 7 19 35 49 95 133 245 665 931 4,297 4,655 21,485 30,079 81,643 150,395 210,553 408,215 571,501 1,052,765 2,857,505 4,000,507 20,002,535

Collatz Trajectory (283 steps to reach 1)

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

20,002,535 60,007,606 30,003,803 90,011,410 45,005,705 135,017,116 67,508,558 33,754,279 101,262,838 50,631,419 151,894,258 75,947,129 227,841,388 113,920,694 56,960,347 170,881,042 85,440,521 256,321,564 128,160,782 64,080,391 192,241,174 96,120,587 288,361,762 144,180,881 432,542,644 216,271,322 108,135,661 324,406,984 162,203,492 81,101,746 40,550,873 121,652,620 60,826,310 30,413,155 91,239,466 45,619,733 136,859,200 68,429,600 34,214,800 17,107,400 8,553,700 4,276,850 2,138,425 6,415,276 3,207,638 1,603,819 4,811,458 2,405,729 7,217,188 3,608,594 1,804,297 5,412,892 2,706,446 1,353,223 4,059,670 2,029,835 6,089,506 3,044,753 9,134,260 4,567,130

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