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Atlas › Integer Profiles › Node 4,530,897

4,530,897

34 × 7 × 61 × 131
Deficient Odd Composite

4,530,897 factors as 3^4 × 7 × 61 × 131. Its 40 positive divisors give a proper-divisor sum of 3,391,215, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 61 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,922,112
Proper Divisor Sum 3,391,215
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4530893 ← → #4530907

Radix Representation

Decimal 4530897
Binary 10001010010001011010001 (23 bits)
Octal 0o21221321
Hexadecimal 0x4522D1

Divisor Catalog (40)

1 3 7 9 21 27 61 63 81 131 183 189 393 427 549 567 917 1,179 1,281 1,647 2,751 3,537 3,843 4,941 7,991 8,253 10,611 11,529 23,973 24,759 34,587 55,937 71,919 74,277 167,811 215,757 503,433 647,271 1,510,299 4,530,897

Collatz Trajectory (211 steps to reach 1)

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

4,530,897 13,592,692 6,796,346 3,398,173 10,194,520 5,097,260 2,548,630 1,274,315 3,822,946 1,911,473 5,734,420 2,867,210 1,433,605 4,300,816 2,150,408 1,075,204 537,602 268,801 806,404 403,202 201,601 604,804 302,402 151,201 453,604 226,802 113,401 340,204 170,102 85,051 255,154 127,577 382,732 191,366 95,683 287,050 143,525 430,576 215,288 107,644 53,822 26,911 80,734 40,367 121,102 60,551 181,654 90,827 272,482 136,241 408,724 204,362 102,181 306,544 153,272 76,636 38,318 19,159 57,478 28,739

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