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Atlas › Integer Profiles › Node 1,489,540

1,489,540

22 × 5 × 13 × 17 × 337
Abundant Even Composite

1,489,540 factors as 2^2 × 5 × 13 × 17 × 337. Its 48 positive divisors give a proper-divisor sum of 2,087,852, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 17 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,577,392
Proper Divisor Sum 2,087,852
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1489531 ← → #1489541

Radix Representation

Decimal 1489540
Binary 101101011101010000100 (21 bits)
Octal 0o5535204
Hexadecimal 0x16BA84

Divisor Catalog (48)

1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 337 340 442 674 884 1,105 1,348 1,685 2,210 3,370 4,381 4,420 5,729 6,740 8,762 11,458 17,524 21,905 22,916 28,645 43,810 57,290 74,477 87,620 114,580 148,954 297,908 372,385 744,770 1,489,540

Collatz Trajectory (88 steps to reach 1)

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

1,489,540 744,770 372,385 1,117,156 558,578 279,289 837,868 418,934 209,467 628,402 314,201 942,604 471,302 235,651 706,954 353,477 1,060,432 530,216 265,108 132,554 66,277 198,832 99,416 49,708 24,854 12,427 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576

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