λ
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Atlas › Integer Profiles › Node 1,364,034

1,364,034

2 × 3 × 7 × 47 × 691
Abundant Even Composite

1,364,034 factors as 2 × 3 × 7 × 47 × 691. Its 32 positive divisors give a proper-divisor sum of 1,824,702, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 47 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,188,736
Proper Divisor Sum 1,824,702
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1364017 ← → #1364039

Radix Representation

Decimal 1364034
Binary 101001101000001000010 (21 bits)
Octal 0o5150102
Hexadecimal 0x14D042

Divisor Catalog (32)

1 2 3 6 7 14 21 42 47 94 141 282 329 658 691 987 1,382 1,974 2,073 4,146 4,837 9,674 14,511 29,022 32,477 64,954 97,431 194,862 227,339 454,678 682,017 1,364,034

Collatz Trajectory (168 steps to reach 1)

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

1,364,034 682,017 2,046,052 1,023,026 511,513 1,534,540 767,270 383,635 1,150,906 575,453 1,726,360 863,180 431,590 215,795 647,386 323,693 971,080 485,540 242,770 121,385 364,156 182,078 91,039 273,118 136,559 409,678 204,839 614,518 307,259 921,778 460,889 1,382,668 691,334 345,667 1,037,002 518,501 1,555,504 777,752 388,876 194,438 97,219 291,658 145,829 437,488 218,744 109,372 54,686 27,343 82,030 41,015 123,046 61,523 184,570 92,285 276,856 138,428 69,214 34,607 103,822 51,911

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