λ
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Atlas › Integer Profiles › Node 2,853,318

2,853,318

2 × 3 × 13 × 157 × 233
Abundant Even Composite

2,853,318 factors as 2 × 3 × 13 × 157 × 233. Its 32 positive divisors give a proper-divisor sum of 3,357,978, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 157 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,211,296
Proper Divisor Sum 3,357,978
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2853307 ← → #2853337

Radix Representation

Decimal 2853318
Binary 1010111000100111000110 (22 bits)
Octal 0o12704706
Hexadecimal 0x2B89C6

Divisor Catalog (32)

1 2 3 6 13 26 39 78 157 233 314 466 471 699 942 1,398 2,041 3,029 4,082 6,058 6,123 9,087 12,246 18,174 36,581 73,162 109,743 219,486 475,553 951,106 1,426,659 2,853,318

Collatz Trajectory (151 steps to reach 1)

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

2,853,318 1,426,659 4,279,978 2,139,989 6,419,968 3,209,984 1,604,992 802,496 401,248 200,624 100,312 50,156 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590

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