λ
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Atlas › Integer Profiles › Node 3,553,030

3,553,030

2 × 5 × 13 × 151 × 181
Deficient Even Composite

3,553,030 factors as 2 × 5 × 13 × 151 × 181. Its 32 positive divisors give a proper-divisor sum of 3,418,298, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 151 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,971,328
Proper Divisor Sum 3,418,298
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3553021 ← → #3553037

Radix Representation

Decimal 3553030
Binary 1101100011011100000110 (22 bits)
Octal 0o15433406
Hexadecimal 0x363706

Divisor Catalog (32)

1 2 5 10 13 26 65 130 151 181 302 362 755 905 1,510 1,810 1,963 2,353 3,926 4,706 9,815 11,765 19,630 23,530 27,331 54,662 136,655 273,310 355,303 710,606 1,776,515 3,553,030

Collatz Trajectory (120 steps to reach 1)

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

3,553,030 1,776,515 5,329,546 2,664,773 7,994,320 3,997,160 1,998,580 999,290 499,645 1,498,936 749,468 374,734 187,367 562,102 281,051 843,154 421,577 1,264,732 632,366 316,183 948,550 474,275 1,422,826 711,413 2,134,240 1,067,120 533,560 266,780 133,390 66,695 200,086 100,043 300,130 150,065 450,196 225,098 112,549 337,648 168,824 84,412 42,206 21,103 63,310 31,655 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220

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