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Atlas › Integer Profiles › Node 3,553,074

3,553,074

2 × 32 × 7 × 163 × 173
Abundant Even Composite

3,553,074 factors as 2 × 3^2 × 7 × 163 × 173. Its 48 positive divisors give a proper-divisor sum of 5,350,158, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 163 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,903,232
Proper Divisor Sum 5,350,158
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3553061 ← → #3553087

Radix Representation

Decimal 3553074
Binary 1101100011011100110010 (22 bits)
Octal 0o15433462
Hexadecimal 0x363732

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 163 173 326 346 489 519 978 1,038 1,141 1,211 1,467 1,557 2,282 2,422 2,934 3,114 3,423 3,633 6,846 7,266 10,269 10,899 20,538 21,798 28,199 56,398 84,597 169,194 197,393 253,791 394,786 507,582 592,179 1,184,358 1,776,537 3,553,074

Collatz Trajectory (146 steps to reach 1)

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

3,553,074 1,776,537 5,329,612 2,664,806 1,332,403 3,997,210 1,998,605 5,995,816 2,997,908 1,498,954 749,477 2,248,432 1,124,216 562,108 281,054 140,527 421,582 210,791 632,374 316,187 948,562 474,281 1,422,844 711,422 355,711 1,067,134 533,567 1,600,702 800,351 2,401,054 1,200,527 3,601,582 1,800,791 5,402,374 2,701,187 8,103,562 4,051,781 12,155,344 6,077,672 3,038,836 1,519,418 759,709 2,279,128 1,139,564 569,782 284,891 854,674 427,337 1,282,012 641,006 320,503 961,510 480,755 1,442,266 721,133 2,163,400 1,081,700 540,850 270,425 811,276

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