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Atlas › Integer Profiles › Node 1,134,108

1,134,108

22 × 33 × 10501
Abundant Even Composite

1,134,108 factors as 2^2 × 3^3 × 10501. Its 24 positive divisors give a proper-divisor sum of 1,806,452, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 10501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,940,560
Proper Divisor Sum 1,806,452
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1134079 ← → #1134113

Radix Representation

Decimal 1134108
Binary 100010100111000011100 (21 bits)
Octal 0o4247034
Hexadecimal 0x114E1C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 10,501 21,002 31,503 42,004 63,006 94,509 126,012 189,018 283,527 378,036 567,054 1,134,108

Collatz Trajectory (85 steps to reach 1)

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

1,134,108 567,054 283,527 850,582 425,291 1,275,874 637,937 1,913,812 956,906 478,453 1,435,360 717,680 358,840 179,420 89,710 44,855 134,566 67,283 201,850 100,925 302,776 151,388 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200

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