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Atlas › Integer Profiles › Node 1,558,518

1,558,518

2 × 3 × 132 × 29 × 53
Abundant Even Composite

1,558,518 factors as 2 × 3 × 13^2 × 29 × 53. Its 48 positive divisors give a proper-divisor sum of 1,999,002, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 29 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,557,520
Proper Divisor Sum 1,999,002
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1558517 ← → #1558523

Radix Representation

Decimal 1558518
Binary 101111100011111110110 (21 bits)
Octal 0o5743766
Hexadecimal 0x17C7F6

Divisor Catalog (48)

1 2 3 6 13 26 29 39 53 58 78 87 106 159 169 174 318 338 377 507 689 754 1,014 1,131 1,378 1,537 2,067 2,262 3,074 4,134 4,611 4,901 8,957 9,222 9,802 14,703 17,914 19,981 26,871 29,406 39,962 53,742 59,943 119,886 259,753 519,506 779,259 1,558,518

Collatz Trajectory (150 steps to reach 1)

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

1,558,518 779,259 2,337,778 1,168,889 3,506,668 1,753,334 876,667 2,630,002 1,315,001 3,945,004 1,972,502 986,251 2,958,754 1,479,377 4,438,132 2,219,066 1,109,533 3,328,600 1,664,300 832,150 416,075 1,248,226 624,113 1,872,340 936,170 468,085 1,404,256 702,128 351,064 175,532 87,766 43,883 131,650 65,825 197,476 98,738 49,369 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648

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