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Atlas › Integer Profiles › Node 3,577,338

3,577,338

2 × 33 × 31 × 2137
Abundant Even Composite

3,577,338 factors as 2 × 3^3 × 31 × 2137. Its 32 positive divisors give a proper-divisor sum of 4,632,582, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,209,920
Proper Divisor Sum 4,632,582
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3577337 ← → #3577349

Radix Representation

Decimal 3577338
Binary 1101101001010111111010 (22 bits)
Octal 0o15512772
Hexadecimal 0x3695FA

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 2,137 4,274 6,411 12,822 19,233 38,466 57,699 66,247 115,398 132,494 198,741 397,482 596,223 1,192,446 1,788,669 3,577,338

Collatz Trajectory (234 steps to reach 1)

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

3,577,338 1,788,669 5,366,008 2,683,004 1,341,502 670,751 2,012,254 1,006,127 3,018,382 1,509,191 4,527,574 2,263,787 6,791,362 3,395,681 10,187,044 5,093,522 2,546,761 7,640,284 3,820,142 1,910,071 5,730,214 2,865,107 8,595,322 4,297,661 12,892,984 6,446,492 3,223,246 1,611,623 4,834,870 2,417,435 7,252,306 3,626,153 10,878,460 5,439,230 2,719,615 8,158,846 4,079,423 12,238,270 6,119,135 18,357,406 9,178,703 27,536,110 13,768,055 41,304,166 20,652,083 61,956,250 30,978,125 92,934,376 46,467,188 23,233,594 11,616,797 34,850,392 17,425,196 8,712,598 4,356,299 13,068,898 6,534,449 19,603,348 9,801,674 4,900,837

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