λ
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Atlas › Integer Profiles › Node 3,488,134

3,488,134

2 × 13 × 19 × 23 × 307
Deficient Even Composite

3,488,134 factors as 2 × 13 × 19 × 23 × 307. Its 32 positive divisors give a proper-divisor sum of 2,721,146, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 23 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,209,280
Proper Divisor Sum 2,721,146
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3488119 ← → #3488141

Radix Representation

Decimal 3488134
Binary 1101010011100110000110 (22 bits)
Octal 0o15234606
Hexadecimal 0x353986

Divisor Catalog (32)

1 2 13 19 23 26 38 46 247 299 307 437 494 598 614 874 3,991 5,681 5,833 7,061 7,982 11,362 11,666 14,122 75,829 91,793 134,159 151,658 183,586 268,318 1,744,067 3,488,134

Collatz Trajectory (159 steps to reach 1)

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

3,488,134 1,744,067 5,232,202 2,616,101 7,848,304 3,924,152 1,962,076 981,038 490,519 1,471,558 735,779 2,207,338 1,103,669 3,311,008 1,655,504 827,752 413,876 206,938 103,469 310,408 155,204 77,602 38,801 116,404 58,202 29,101 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133

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